USE OF POLYMERS DERIVED FROM MUCONIC OR SORBIC ACID, PROCESS FOR TREATMENT OF KERATINIC MATERIALS, POLYMER AND COMPOSITION

Abstract

Title: USE OF POLYMERS DERIVED FROM MUCONIC OR SORBIC ACID, PROCESS FOR PROCESSING KERATINIC MATERIALS, POLYMER AND COMPOSITION The present invention relates to new homopolymers or copolymers derived from muconic or sorbic acid, their preparation process, a composition, in particular a cosmetic composition, comprising at least one homopolymer or copolymer derived from muconic or sorbic acid, a process for treating keratinic materials, in particular human materials such as skin or hair, involving the application to said materials of at least one homopolymer or copolymer derived from muconic or sorbic acid or of a composition comprising at least one homopolymer or copolymer derived from muconic or sorbic acid; a process for preparing diacids from homopolymers or copolymers resulting from oxidative degradation, in particular by ozonolysis, and new diacid compounds resulting from said degradation.

Description

Title of the invention: USE OF POLYMERS DERIVED FROM MUCONIC OR SORBIC ACID, METHOD FOR TREATMENT OF KERATINIC MATERIALS, POLYMER AND COMPOSITION

[0001] The present invention relates to new homopolymers or copolymers derived from muconic or sorbic acid, their preparation process, a composition, in particular a cosmetic composition, comprising at least one homopolymer or copolymer derived from muconic or sorbic acid, a process for treating keratinous materials, in particular human materials such as skin or hair, involving the application to said materials of at least one homopolymer or copolymer derived from muconic or sorbic acid or of a composition comprising at least one homopolymer or copolymer derived from muconic or sorbic acid; a process for preparing diacids from homopolymers or copolymers derived from oxidative degradation, in particular by ozonolysis, and new diacid compounds derived from said degradation.

[0002] The texture of a cosmetic formula plays an important role in the perception of its performance during manual handling, application, and after drying. In this context, it is important to have aqueous thickeners with suitable rheological and sensory attributes before, during, and after application to keratinous materials, particularly human materials such as skin or hair.

[0003] Crosslinked poly(methyl)acrylates or poly(methyl)acrylamides are often used to thicken cosmetic formulas because they can produce thick formulas at low concentrations (<2% by weight), they are quite easy to apply, and generally have little or no negative sensory impact on the deposit after drying on keratinous materials, particularly the skin.

[0004] In addition, there are few bio-based acrylate monomers, and very few processes for degrading polyacrylates after use.

[0005] Nowadays, environmental concerns make it essential to promote the use of bio-based and / or biodegradable materials after use. It is desirable to make available other thickeners, preferably aqueous (or water-soluble), if possible bio-based, for cosmetic formulas, particularly for skin care, or hair formulas, allowing high viscosities to be achieved at low concentration (<2% by weight).

[0006] In this context, it is important to develop processes for preparing cosmetic products and / or cosmetic ingredients with a better carbon footprint, capable of reducing carbon dioxide generation throughout the product's life cycle and / or using little energy and water and / or using greener solvents and / or with fewer synthesis steps and / or with good atom economy. Furthermore, cosmetic products often require the use of a film-forming polymer to achieve product deposition on keratinous materials with good cosmetic properties.In particular, it is necessary that the film-forming coating exhibit good adhesion, specifically that it does not transfer upon contact with fingers or clothing, and that it is resistant to water, including rain or showering. Furthermore, it must be insensitive to perspiration, sebum, and food fats, especially liquids at room temperature such as oils. It is also desirable, particularly for reasons of molecular economy, for the formulation ingredient to possess, in addition to rheological properties, cosmetic properties, especially in skincare, such as a tightening effect on keratinous materials, particularly the skin.

[0007] Muconate esters are derived from muconic acid (MA), called 2,4-hexadienedioic acid, which is both a conjugated diene and a dicarboxylic acid.

[0008] Several synthetic routes, particularly bio-based ones derived from AM, have been developed since 1980 (see, for example, Biotechnological Production of Muconic Acid: Current Status and Future Prospects. Biotechnol. Adv. 2014, 32 (3), 615-622; Muconic Acid Isomers as Platform Chemicals and Monomers in the Biobased Economy. Green Chem. 2020, 22 (5), 1517-1541), and numerous production sources are currently being considered, including biotechnologies using fermentation (bacteria, yeasts) of lignin or glucose derivatives (Engineering Glucose Metabolism for Enhanced Muconic Acid Production in Pseudomonas Putida KT2440. Metab. Eng. 2020, 59, 64-75; J. Bioconversion of Lignin-Derived Feedstocks to Muconic Acid by Whole-Cell Biocatalysis. ACS Food Sci. Technol. 2021,1 (3), 382-387. Muconic Acid Production from Glucose and Xylose in Pseudomonas Putida via Evolution and Metabolic Engineering. Nat. Common. 2022, 13 (1), 4925. Systems Metabolic Engineering Upgrades Corynebacterium Glutamicum to High-Efficiency Cis, Cis-Muconic Acid Production from Lignin-Based Aromatics. Metab. Eng. 2023, 75, 153-169.; Comparison of Wild-Type KT2440 and Genome- Reduced EM42 Pseudomonas Putida Strains for Muconate Production from Aromatic Compounds and Glucose. Metab. Eng. 2024, 81, 88-99).

[0009] Polymers resulting from step-growth polymerization modes with unsaturations (C=C double bonds) in the backbone allow for further post-polymerization modifications as a means of adjusting the properties of polymuconates.

[0010] Matsumoto et al. developed the 1,4-topochemical polymerization of dialkyl muconates by photoirradiation of the monomers in their crystalline state, forming stereoregular polymer chains (S. Stereospecific Polymerization of Diethyl (Z,Z)-Hexa-2,4-Dienedioate in the Crystalline State. J. Chem. Soc. Chem. Commun. 1994, No. 11, 1389. Stereospecific Polymerization of Dialkyl Muconates through Free Radical Polymerization: Isotropy Polymerization and Topochemical Polymerization. Macromolecules 1996, 29 (1), 423-432.; Crystal-Lattice Controlled Photopolymerization of Di(Benzylammonium) (Z,Z)-Muconates. J. Am. Chem. Soc. 1999, 121 (48), 11122-11129.; Topochemical Polymerization of 1,3-Diene Monomers and Characteristics of Polymer Crystals as Organic Intercalation Materials. Macromol. Rapid Commun. 2001, 22 (15), 1195. Reaction Principles and Crystal Structure Design for the Topochemical Polymerization. Angew. Chem. 2002,114 (14), 2612-261).

[0011] More recently, Lunkers et al. reported the radical polymerization in solution of dialkyl muconates, forming high molecular weight polymers (> 100,000 g mol-l). (Muconic Acid Esters as Bio-Based Acrylate Mimics. Polym. Chem. 2019,10 (40), 5555-5563.).

[0012] Monomers can also be polymerized in a controlled manner by the reversible addition fragmentation radical polymerization (RAFT) chain transfer process. However, to achieve high monomer conversion, the radical polymerization reactions are very slow and time-constraining, i.e., between 24 and 48 hours at 120 °C (Muconic Acid Esters as Bio-Based Acrylate Mimics. Polym. Chem. 2019,10 (40), 5555-5563).

[0013] Alkyl sorbates exhibit structural analogies with alkyl muconates as polar conjugated dienes.

[0014] It is known to synthesize alkyl sorbates by four main routes,

[0015] - either a) by living anionic polymerization (“living” (LAP), (Microstructure of Poly(Methyl Sorbate). Eur. Polym. J. 1985, 21 (1), 71-74.;

[0016] - either b) by coordinated anionic polymerization, (Highly Threo Diastereoselective Anionic Polymerization of (E,E)-Methyl Sorbate Catalyzed by a Bulky Organoaluminum Lewis Acid. Macromolecules 2001, 34 (19), 6548-6550. N-Heterocyclic Carbene Initiated Anionic Polymerization of (E,E)-Methyl Sorbate and Subsequent Ring-Closing to Cyclic Poly(Alkyl Sorbate). J Am Chem Soc 2017);

[0017] - either c) by Lewis base electron pair polymerization (LPP) (Lewis Pair Catalyzed Regiosélective Polymerization of (E^-Alkyl Sorbates for the Synthesis of (AB)„ Sequenced Polymers. Angew. Chem. Int. Ed. 2021, 60 (45), 24306-2431L; Boron-Based Lewis Pairs Catalyzed Living, Regioselective, and Topology-Controlled Polymerization of (E^-Alkyl Sorbates. Macromol. Rapid Commun. 2022, 43 (16), 2200088) ; ou

[0018] soit d) par polymérisation par transfert de groupe (GTP) ; (Organocatalyzed Group Transfer Polymerization of Alkyl Sorbate: Polymer Synthesis, Postpolymerization Modification, and Thermal Properties. Macromolecules 2021, 54 (19), 9039-9052.; Hydrosilylation-Promoted Group Transfer Polymerization of Ethyl Sorbate: A Controlled / Living System Applied to the Synthesis of an a-End Functionalized Polymer and a Triblock Copolymer with a (Meth)Acrylate Polymer. 2023).

[0019] This latter method contrasts with many "controlled / live" polymerization methods, insofar as GTP polymerization can be carried out at room temperature and does not necessarily use a sulfur-containing control agent, nor a metallic catalyst or halogenated initiator. This is particularly important for specific applications, especially cosmetics, where the presence of such compounds, even at low concentrations, can be detrimental and necessitate additional purification steps.

[0020] The GTP method has been developed to produce, in particular industrially, methacrylate-based copolymers used as dispersants for pigments (see for example US 2023 / 0174701 Al), as emulsifiers (US 2023 / 0193138 Al) or as cosmetic stabilizing agents (EP 4 151 279 Al).

[0021] With the emergence of organic catalysts for polymerization, the GTP pathway has seen progress over the past fifteen years, including a wider range of polymerizable monomers (Group Transfer Polymerization of Biobased Monomers. Eur. Polym. J. 2013, 49 (4), 761-767; Group-Transfer Polymerization of Varions Crotonates Using Organic Acid Catalysts. Macromolecules 2019, 52 (11), 4052-4058; Precision Synthesis for Well-Defined Linear and / or Architecturally Controlled Thermoresponsive Poly(N-Substituted Acrylamide)s. Polym. Chem. 2022, 13 (10), 1293-1319; Organocatalytic Group Transfer Polymerization of N,N-Diethylsorbamide Leading to Trans-1,4-Addition Polymer: Controlled / Living Nature Applied to the One-Pot Synthesis of Block Copolymer with PolytV, V-Dimethylacrylamide).Macromolecules 2023, 56 (22), 9196-9206) et une variété de copolymères séquencés facilement disponibles (Précision Synthesis for Well-Defined Linear and / or Architecturally Controlled Thermoresponsive Poly(WSubstituted Acrylamide)s. Polym. Chem. 2022,13 (10), 1293-1319. No Matter the Order of Monomer Addition for the Synthesis of Well-Defined Block . Copolymers by Sequential Group Transfer Polymerization Using N-Heterocyclic Carbenes as Catalysts. Polym. Chem. 2011, 2 (8), 1706. Amphiphilic Polymer Conetworks Based on Interconnected Hydrophobie Star Block Copolymers: Synthesis and Characterization. Macromol. Symp. 2017, 372 (1), 69-86. Tricomponent Thermoresponsive Polymers Based on an Amine-Containing Monomer with Tuneable Hydrophobicity: Effect of Composition. Eur. Polym. J. 2020,130, 109655.; Tuning the Gélation of Thermoresponsive Gels Based on Triblock Terpolymers. Macromolecules 2021, 54 (4), 1943-1960. Block Copolymer Synthesis by a Sequential Addition Strategy from the Organocatalytic Group Transfer Polymerization of Methyl Méthacrylate to the Ring-Opening Polymerization of Lactide. Macromol. Rapid Commun. 2022, 2200395.; Stiti, A.; Cenacchi Pereira, A. M.; Lecommandoux, S.; Taton, D.Group-Transfer Polymerization-Induced Self-Assembly (GTPISA) in Non-polar Media: An Organocatalyzed Route to Block Copolymer Nanoparticles at Room Temperature. Angew. Chem. Int. Ed. 2023, 62 (34). .

[0022] To our knowledge, only one report briefly describes the synthesis by GTP of trans,trans-diethyl muconate. The polymerization carried out in THF was not, however, controlled, which made it possible to obtain a polymer of low molecular weight and high dispersity (Group Transfer Polymerization with Polyunsaturated Esters and Silyl Polyenolates. J. Am. Chem. Soc. 1988,110 (17), 5841-5853).

[0023] Thus, a rapid (less than 24 hours) and efficient controlled polymerization of muconate esters with good yield is currently lacking.

[0024] In the present invention, it appears that the polymerization takes place very rapidly (within minutes) and in a controlled manner. Furthermore, the resulting poly(muconate esters) represent a rare example of vinyl polymers that can be both bio-based and subject to easy post-polymerization modification reactions.

[0025] It is also known to use crosslinked polymers of (meth)acrylic, maleic or fumaric acid (motif 1) and sorbic or muconic acid (motif 2) of particular molecular weight as detergents and water absorbers in drilling fluids or in layers (see for example JP2002012628). These latter polymers have been crosslinked via the presence of unsaturation from sorbic or muconic acid.

[0026] It is also advantageous to provide a user-friendly process employing a cosmetic composition that can further incorporate one or more cosmetic active ingredients, including, optionally, one or more UV filters, and / or one or more coloring agents such as pigments and / or direct colorants. It would also be beneficial for the cosmetic composition to be stable for storage, particularly for several months at a temperature such as 20°C.

[0027] Another object of the present invention is to provide a composition for treating keratinous materials, particularly skin, preferably human, and more preferably facial skin, that is adhesive and, if possible, non-sticky, exhibits good resistance to external aggressions over time, does not bleed color if said composition contains at least one coloring agent, is resistant to perspiration and sebum, and insensitive to oils such as cooking oils. Furthermore, the composition may include cosmetic active ingredients such as those for obtaining an additional skin-tightening effect, for body, face, and hair care, for protection against ultraviolet (UV) radiation, and for makeup for the face, lips, eyelashes, eyebrows, and hair. This composition may be intended, in particular, for skincare, especially for its skin-tightening effects, and / or for makeup, particularly lip makeup.

[0028] In particular, it is of interest to provide a composition, especially a cosmetic one, for treating keratin fibers, particularly human keratin fibers such as hair, that is adhesive and, if possible, non-sticky, exhibits good resistance to external aggressions such as water, and does not bleed over time. Such a composition, particularly for hair care, could also include one or more cosmetic active ingredients such as colorants, UV filters, and keratin fiber conditioning agents, without altering the stability of the formula and / or the properties of said cosmetic active ingredients.

[0029] It is further sought to obtain polymeric materials which, once applied to the substrate, possess elastic, flexible, and mechanically resistant properties, and which conform to the surface and which, once applied and when the substrate is stretched or in motion, do not visually develop a "skin" effect. It would be advantageous if said materials could be sufficiently affin with the substrate so that they do not detach from it easily.

[0030] These technical problems have been solved by the cosmetic use of, a) one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) or a composition containing them, for the treatment of keratinous materials, particularly human materials, in particular a) human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) human skin, in particular as a tensing and / or thickening agent, said homopolymer(s) a1) and / or copolymer(s) a2) comprising i) several repeating units selected from the following units (A) as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates and optionally ii) at least one unit selected from units (A1) to (A15) as defined below or their mixtures, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates:

[0031] [Chem.l] unit (A)

[0032] polymer units (A) in which: • R i represents a (Ci-C4)alkyl group such as methyl, or a -C(O)-OR'4 group; • R2 and R3, whether identical or different, represent a hydrogen atom or a hydroxyl group; preferably R2 and R3 cannot simultaneously represent a hydrogen atom; or

[0033] R 2 and R 3 together form a connection;

[0034] or

[0035] R 2 and R 3 together form a heterocycle, saturated or unsaturated, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, preferably with 3 links such as epoxy; • R4 and R4', whether identical or different, represent: i. a hydrogen atom, ü- a cationic counter ion M+ preferably an alkali or alkaline earth metal cation, or ammonium, iii. a hydrocarbon group, saturated or unsaturated, linear or branched, or cyclic, aromatic or non-aromatic, comprising from 1 to 140 carbon atoms; preferably comprising from 2 to 20 carbon atoms, preferably said hydrocarbon group is saturated, acyclic, linear or branched, or cyclic; said hydrocarbon group being further: • possibly substituted by one or more (di)(CrC4)(alkyl)amino groups; and / or • possibly interrupted by one or more a') heteroatoms such as O, S, N(Ra), and Si(Rb)(Rc), b') S(O)r with r having a value of 1, 2 or 3, carbonyl, c') or combinations of a') with b') such as -C(O)-O-, -OC(O)-, amide -C(O)- N(Ra )-, -N(Ra)-C(O)-, urethane -N(Ra)-C(O)-O- or -OC(O)- N(Ra)-, urea - N(Ra)- (CO)-N(Rb)-, carbonate -OC(O)-O-, -[O-Si(Rb)(Rc)]p- or -[(CRa2)qO]p- with q an integer between 1 and 4; • with p between 1 and 200, in which Ra, Rb, Rc, identical or different, represent a hydrogen atom or (Ci-C4)alkyl group, particularly Ra represents a hydrogen atom, Rb and Rc, being as defined previously, preferably represent a (Ci-C4)alkyl group such as methyl; and possibly (Al) to (A 15): (A3) (A4) (A9) (A10) (A15) Formulas (Al) to (A15) in which RI, R2, R3 and R4 are such as defined for R i, R 2, R 3 and R 4 respectively as units (A), R2 and R3 being able to form together a bond or R2 and R3 being able to form together a heterocycle, saturated or unsaturated, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, preferably 3 links such as epoxy;

[0036] X represents an oxygen atom, sulfur atom or an amino group N(Ra) with Ra representing a hydrogen atom, or a (Ci-C4)alkyl group;

[0037] RET, identical or different, represents a group resulting from the crosslinking of at least one reactive group of at least one unit (A), preferably of at least one hydroxyl group and / or at least one -C(O)-OR'4 group and / or -C(O)-OR4 of one unit (A) with at least one crosslinking agent, in particular chosen from crosslinking agents b-1) to b-8), preferably chosen from (S'), (E), (F), (G), (H), (I), (J), (K), (L), (M), (N), (O) and (P) as defined below, more preferably chosen from (S'), (E), (F), (K), and (O); and 4 represents the point at which the group attaches to the rest of the molecule;

[0038] It is understood that:

[0039] - when R 2 (and / or R 3) represents a hydroxy radical and R 4 represents an atom of hydrogen or a cationic counter ion M+(and / or R' 4), then R 2 and the -C(O)-OR4 group (and / or R3 and the -C(O)-OR'4 group) can together form a 5-membered or 6-membered heterocycle;

[0040] - when the radical R4 and / or R4' represents a cationic counterion, then the atom of oxygen from the group -OR4 and / or R / will be in its anionic form -O; and

[0041] - the radicals R i, respectively R 2, R 3, R 4, R' 4 of the different units (A), and RI, R2, R3 and R4 of the different units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and / or (A15) may be identical or different.

[0042] More particularly, the object of the invention relates to the use of at least one composition, preferably cosmetic, which contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2) or a composition containing them, said polymers comprising i) several repeating units selected from the units (A) as defined above, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates, and optionally ii) one or more unit(s) selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above, or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and possibly b) one or more crosslinking agents, for the treatment of keratinous materials, particularly human materials such as hair, eyelashes, eyebrows, or skin, preferably for thickening cosmetic compositions, particularly those intended to color keratinous fibers and / or for shaping keratinous fibers such as hair, or for applying makeup to the skin and / or for skincare, and / or for forming a film on the surface of the keratinous material(s), particularly one that is resistant to external aggressions such as water, fatty substances such as oil and / or sebum.

[0043] According to a particular embodiment, the a) homopolymer(s) al) and / or copolymer(s) a2) comprising i) several repeating units selected from the units (A) and optionally ii) at least one unit selected from the units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and (A15) as defined above or their mixtures, as well as their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates, in particular non-crosslinked or weakly crosslinked (less than 10 mol% of RET motifs), exhibit a tensor character.

[0044] Another object of the invention is a process for treating keratinous materials, particularly human materials, preferably a) human keratinous fibers such as hair, eyelashes, eyebrows or |3) human skin, comprising applying to said materials one or more homopolymer(s) a1) and / or copolymer(s) a2) or a composition a1c / a1cs containing, said polymers comprising i) several repeating units selected from the units (A) as defined above, as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates, and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above, or their mixtures, as well as their optical and geometric isomers, their acid or base salts, organic or mineral,and their solvates such as hydrates and possibly the simultaneous or sequential application of b) one or more crosslinking agents.

[0045] According to a particular embodiment, the treatment process comprises applying to said materials one or more homopolymer(s) a1) and / or copolymer(s) a2) comprising several repeating units selected from crosslinked or non-crosslinked units (A), as defined above, and optionally b) one or more crosslinking agents as defined above. The application to said materials of one or more homopolymer(s) a1) and / or copolymer(s) a2) comprising several repeating units selected from crosslinked or non-crosslinked units (A), as defined above, may be carried out together with b) one or more crosslinking agents as defined above, or else the crosslinking agent(s) is / are applied beforehand to the keratinous materials followed by the application to said materials of one or more homopolymer(s) (a1) and / or copolymer(s) (a2) comprising several repeating units selected from crosslinked or non-crosslinked units (A). According to another variant, the application to said materials of one or more homopolymer(s) (a1) and / or copolymer(s) (a2) comprising several repeating units selected from crosslinked or non-crosslinked units (A), as defined above, is followed by the application of one or more crosslinking agents.

[0046] Preferably, the application to said keratinous materials, particularly human keratinous materials, is carried out with a composition, preferably cosmetic, which contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2) said polymers comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and b) possibly one or more crosslinking agents,

[0047] The invention also relates to a CP composition, particularly a cosmetic one, which contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2), said polymers comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates and optionally iii) one or more units resulting from the polymerization of one or several additional monomer(s) chosen from i) (Ci-C4)(alkyl)acrylate of (Ci-C22)(cyclo)alkyl preferably (meth)acrylate of (C5-C22)(cyclo)alkyl,and / or ii) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl preferably (meth)acrylamide of (C5-C22)(cyclo)alkyl and optionally b) one or more crosslinking agent(s), it being understood that where the CP composition does not include a crosslinking agent and / or does not include a unit selected from (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and (A15) or a unit resulting from the polymerization of one or more additional monomer(s) selected from i) (CrC4)(alkyl)acrylate of (Ci-C22)(cyclo)alkyl preferably (meth)acrylate of (C5-C22)(cyclo)alkyl, and / or ii) , (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl preferably (meth)acrylamide of (C5-C22)(cyclo)alkyl and that in units (A) the radicals R 2 and R 3 form together a bond then the composition comprises at least one compound selected from c) fats, preferably liquid at 25 °C and atmospheric pressure, d) colorants, e) pigments preferably pigments, f) one or more active ingredients for the care of keratinous materials especially of the skin, g) UV filters (A) and / or (B), or h) their mixtures c) to g), preferably selected from c), d) and e) more preferably c) or e).

[0048] In particular, the CP composition, especially the cosmetic composition, of the invention, contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2), said polymers comprising i) several repeating units selected from the units (A) as defined above, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates, and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates, and optionally b) one or more crosslinking agent(s), and c) comprises one or more fats, preferably liquid at 25 °C and atmospheric pressure, in particular selected from volatile oils,and possibly one or more organic solvent(s),

[0049] According to one embodiment, the CP composition of the invention, preferably cosmetic, further comprises f) one or more cosmetic active ingredient(s) selected from d) colorants or e) pigments, preferably pigments; f) active ingredients for the care of keratinous materials, in particular of the skin, g) UV (A) and / or (B) filters, or h) mixtures of d) to g), preferably selected from d) colorants and he) pigments, preferably pigment e).

[0050] Another object of the invention is a polymer selected from:

[0051] 1) the copolymer(s) a2) statistical sequences or gradients comprising i) several Identical repeating units selected from units (A) and their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates, and optionally ii) at least one unit selected from units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14), and (A15) defined above or mixtures thereof, and their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates, and / or optionally iii) one or more units resulting from the polymerization of one or more additional monomer(s) selected from iii) (C1-C4)(alkyl)acrylate of (C1-C22)(cyclo)alkyl, preferably (meth)acrylate of (C5-C22)(cyclo)alkyl, and / or iü2) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl preferably (meth)acrylamide of (C5-C22)(cyclo)alkyl, it being understood that said copolymers comprise ii) and / or iii);

[0052] 2) the copolymer(s) a2) statistical sequences or gradients comprising i) at at least two different repeating units selected from units (A) and their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally ii) at least one unit selected from units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) defined previously or mixtures thereof, and their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally iii) one or more units resulting from the polymerization of one or more additional monomer(s) selected from i) (C1-C4)(alkyl)acrylate of (C1-C22)(cyclo)alkyl preferably (meth)acrylate of (C5-C22)(cyclo)alkyl, and / or iii2) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl preferably (meth)acrylamide of (C5-C22)(cyclo)alkyl;

[0053] 3) homopolymers a1) comprising units (A) for which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a bond and R4 and R'4 preferably identical, represent a linear or branched (C3-C8)alkyl group different from i-propyl, n-butyl, and 2-ethylhexyl, such as t-butyl or n-octyl; or a (C3-Cio)cycloalkyl group different from cyclohexyl such as isobornyl, said homopolymers being further different from ci-cis-di-n-octylmuconate;

[0054] 4) homopolymers a1) comprising units (A) for which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a saturated or unsaturated heterocycle, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, preferably 3 links such that epoxy and R4 and R'4 preferably identical are as defined previously;

[0055] 5) homopolymers a1) comprising units (A) for which R2 and R3, identical or different, represent a hydrogen atom or a hydroxy group, it being understood that R2 and R3 cannot simultaneously represent a hydrogen atom, preferably R2 and R3 represent a hydroxy group.

[0056] Another object of the invention is a composition, preferably cosmetic, comprising at least one polymer selected from polymers 1), 2), 3), 4), and 5) as defined above and their mixtures.

[0057] Another object of the invention is a process for preparing the polymers 1), 2), 3), 4), and 5) as defined above, as well as the reagents (I'-C) R'4-OC(O)-CH=CH-CH=CH-C(O)-OR4, formula (I'-C) in which R4 and R'4, identical or different, preferably identical, represent a linear (C3-C10)alkyl group or branched, other than i-propyl, n-butyl, and 2-ethylhexyl such as t-butyl or n-octyl, or a (C3-Ci0)cycloalkyl group other than cyclohexyl such as isosomal. More preferably, R4 and R'4 represent a t-butyl or n-octyl group.

[0058] Another object of the invention is a process for preparing dicarboxylic acid compounds or dicarboxylate salts (Dl) from homopolymers a1) or copolymers a2) as defined above, of which R2 and R3 form a bond, by oxidative degradation in particular of the double bond preferentially by ozonolysis;

[0059] [Chem.2]

[0060] Formula (Dl) in which R1 and R4 are as defined above, or else Ri and / or R4 represents a motif:

[0061] [Chem.3] aygg RÉT and X such as defined previously: preiérenMHemçnt R represents a «C(O>OR'4 with R4 as defined previously

[0062] Another object of the invention is the new compounds of formula (Dl) it being understood that these compounds are different from a) 1,4 Dimethyl 2,2,3,3-butanetetracarboxylate, b) 1,2 Diethyl, 1,1,2,2 ethanetetracarboxylate, c) 1,4 di-2-propen-l-yl 2,2,3,3 butanetetracarboxylate, d) 1,2 bis (2,2-dimethylpropyl) 1,1,2,2 ethanetetracarboxylate and e) 1,1,2,2 ethanetetracarboxylici 1,2-diphenyl ester. Preferably (Dl) is such that R1 represents a -C(O)-OR'4 group with R4 and R'4 being as defined previously, preferably Ri and R'4 being identical, i.e., of formula (D-2), and R4 and R'4 representing iii) a hydrocarbon group, saturated or unsaturated, linear or branched, or cyclic, aromatic or non-aromatic, comprising from 2 to 20 carbon atoms, preferably said hydrocarbon group being saturated, acyclic, linear or branched, or cyclic:

[0063] [Chem.4] (Ü -2)

[0064] Another object of the invention is a kit comprising at least two separate compartments, preferably two separate compartments, the first compartment comprising a) one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) or a composition containing them, said homopolymer(s) a1) and / or copolymer(s) a2) comprising i) several repeating units selected from the following units (A) as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, thus that their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates,and the second compartment comprising b) at least one crosslinking agent or a composition containing it or them.

[0065] Preferably the first compartment of the kit does not include crosslinking agent b). Preferably the second compartment of the kit does not include homopolymer a1) or copolymer a2).

[0066] After application of the homopolymer(s) a1) and / or copolymer(s) a2) comprising units (A) to keratinous materials, and in particular to polymers 1), 2), 3), 4), and 5) as defined above and their mixtures, particularly to keratinous fibers, the shape retention after shaping of the fibers thus treated is greater than 24 hours and remains after at least one shampoo. Furthermore, after application of the composition of the invention to keratinous materials, particularly skin, when the composition includes one or more dyes and / or pigments, the coloration on said materials is permanent, particularly with respect to oils, water, and sebum.

[0067] The composition, cosmetic use and processing method of keratinous materials as defined above make it possible to obtain, after application on the said materials of the homopolymer(s) al) and of the copolymer(s) comprising units (A) as defined above, and in particular of polymers 1), 2), 3), 4), and 5) and their mixtures; treatments resistant in particular to shampoos, sebum, sweat, and / or water but also to fats in particular food such as oils.

[0068] Furthermore, the homopolymer(s) a1) and copolymer(s) a2) comprising units (A) as defined above, and in particular polymers 1), 2), 3), 4), and 5) and mixtures thereof, are easy to incorporate into compositions, particularly cosmetic ones, and are easy to manufacture, even industrially, and remain stable over time, even in solution. Indeed, the cosmetic use, the process for treating keratinous materials, and the application of the composition incorporating the homopolymer(s) a1) and copolymer(s) a2) comprising units (A) as defined above, and in particular polymers 1), 2), 3), 4), and 5) and mixtures thereof, makes it possible to obtain deposits of polymeric materials on the substrate that are highly resistant to external aggressions, particularly sebum and fats found in food, especially liquid fats such as vegetable oils, and in particular olive oil.It appears that makeup made with at least one composition, particularly lip makeup, is very resistant to external aggressions such as liquid oils, especially compared to vegetable oils like olive oil. Furthermore, makeup obtained with the composition of the invention is very aesthetically pleasing.

[0069] For the purposes of the present invention, and unless otherwise indicated:

[0070] - by "polyol" is meant a hydrocarbon organic compound comprising 2 to 100 carbon atoms, preferably 2 to 40 carbon atoms, saturated or unsaturated cyclic or even aromatic or acyclic, saturated or unsaturated, containing at least two hydroxyl groups (-OH), preferably 2 to 6 hydroxyl groups, said compound possibly comprising further one or more heteroatoms selected from O, S, N, preferably, said heteroatom(s) possibly being intercalated in the chain and / or in the ring(s) (in particular ether function); particularly by polyol is meant diols (2 hydroxyl groups), triols (3 hydroxyl groups), tetraols (4 hydroxyl groups), pentols (5 hydroxyl groups) and hexols (6 hydroxyl groups);

[0071] - by "(Cx-Cy)alkyl", we mean a monovalent hydrocarbon chain acyclic, saturated, linear or branched, comprising from x to y number of carbons, such as (Cl-C6)alkyl, means an alkyl group comprising from 1 to 5 carbon atoms such as methyl, ethyl, n-propyl, i-propyl, n-butyl, i-butyl, t-butyl, pentyl or hexyl;

[0072] - by "(C}-C4)alkyl" we mean a hydrocarbon group saturated with Cr4, in particularly in linear or branched, such as methyl, ethyl, n-propyl, n-butyl, isobutyl, tert-butyl;

[0073] - by "(C8-C22)alkyl" we mean a saturated hydrocarbon group at C8-C22, in particularly in CiO-C2O, preferably in Ci2-Ci8, more preferably in Ci2-C16, linear or branched, preferably linear, such as lauryl (Ci2), myristyle (CM), hexadecyl (Ci6), stearyl (C[8], arachidyl (C20), behenyl (C22); more particularly (C8-C18)alkyl is a C8-C,8 saturated hydrocarbon group, linear or branched, preferably linear;

[0074] - by "(meth)acrylate" means an acrylate or a methacrylate;

[0075] - by "alkylene radical" is meant a divalent saturated hydrocarbon group in Ci-C 8, linear or branched, especially in C1-C6, preferably in C1-C4 such as methylene, ethylene, or propylene;

[0076] - a hydrocarbon chain is unsaturated when it comprises one or more conjugated or non-conjugated double bonds and / or one or more triple bonds, preferably one or more conjugated or non-conjugated double bonds;

[0077] - a hydrocarbon chain is saturated when it contains no unsaturation,

[0078] Said hydrocarbon chain may be linear or branched, and may include a cyclic group (if it is referred to as "cyclic") which interrupts said hydrocarbon chain;

[0079] - by "cycloalkyl" is meant a saturated cyclic hydrocarbon group comprising of 1 to 3 rings, preferably 2 rings, and comprising 3 to 12 carbon atoms, preferably between 5 and 10 carbon atoms, such as cyclopentyl, cyclohexyl, cycloheptyl, norbornyl, or isobornyl, the cycloalkyl radical being able to be substituted by one or more (Ci-C4)alkyl groups such as methyl, preferably the cycloalkyl radical is an isobornyl group.

[0080] - by "cyclic" we mean a cyclic hydrocarbon group, saturated or unsaturated, aromatic or non-aromatic, comprising 1 to 3 rings, preferably 1 ring, and comprising 3 to 10 carbon atoms such as cyclohexyl or phenyl;

[0081] - by "aryl" is meant an unsaturated aromatic cyclic radical, comprising 6 with 12 carbon atoms, mono- or polycyclic, fused or not, and of which at least one ring is aromatic; preferably the aryl radical is a phenyl, biphenyl, naphthyl, indenyl, preferably phenyl, preferably the aryl group comprises 1 ring and has 6 carbon atoms such as phenyl;

[0082] - a cyclic radical, or a non-aromatic part of an aryl radical may also be substituted by one or more oxo groups;

[0083] - by "keratinous materials, particularly human" is meant particularly the Human skin (keratinized epithelium) such as the skin of the body, arms, hands, face, décolletage, scalp, and human keratinized fibers such as hair, eyelashes, eyebrows, and body hair, preferentially hair, eyebrows and eyelashes, even more preferentially hair;

[0084] - by "individualized" keratin fibers we mean keratin fibers in particular hair which after application of the composition and drying is not stuck together (or is all separated from each other) and therefore does not form clumps of fibers;

[0085] - by "inorganic polymer" is meant a polymer whose skeleton does not include no carbon atoms.

[0086] - by "hybrid polymer" or "organo-mineral polymer" we mean a polymer comprising carbon atoms and heteroatoms, particularly oxygen and / or silicon such as silane, comprising organic and inorganic components, are called hybrid polymers.

[0087] - by "homopolymer" is meant a polymer resulting from the polymerization of identical monomers;

[0088] - by "copolymer" is meant a polymer resulting from the polymerization of different monomers, in particular at least 2 different monomers. Preferably the copolymer of the invention is derived from 2 or 3 different monomers, more preferably from 2 different monomers;

[0089] - by "statistical copolymers", we mean a polymer resulting from polymerization of several different monomers generating chains with random sequences of the different monomers. For example, a statistical copolymer of monomers A and B could have the sequences -ABBAABABAA-;

[0090] - by "gradient copolymers" we mean copolymers exhibiting an evolution the ratio of the different monomers along the chain; the distribution of co-monomers in the polymer chains depends on the evolution of the relative concentrations of the co-monomers during synthesis. The copolymers according to the invention preferably comprise at least two different monomers whose concentration along the polymer chain changes gradually, systematically, and predictably;

[0091] - by "sequenced" polymer, we mean a polymer comprising at least 2 successive distinct sequences, that is, sequences of different chemical natures. Each sequence, or block, of the polymer according to the invention is derived from one or more different types of monomer. This means that each sequence can be made up of a homopolymer or a copolymer; this copolymer constituting The sequence can also be statistical, alternating, or gradient; the distribution of monomers within each sequence can therefore be random or controlled depending on the nature and / or reactivity of the monomers and / or the preparation process used. The polymer sequenced according to the invention thus comprises at least two sequences, advantageously two sequences (diblock) or three sequences (triblock).

[0092] - by "ethylenic monomer" is meant an organic compound comprising a or several unsaturations of type >C=C<, conjugated or not, capable of polymerizing; preferably the monomer(s) is / are chosen from the monomer(s) of the following formula (V): H 2 C=C(R)-C(O)-OR”' formula (V) in which R represents a hydrogen atom or (Ci-C4)alkyl group such as methyl, and R'” represents a (Ci-C22)(cyclo)alkyl group preferably (C8-C2o)alkyl, in particular (C2n)alkyl with n an integer equal to 5, 6, 7, 8, 9, or 10, preferably R”' represents isodecyl, lauryl, stearyl, hexadecyl, more preferably stearyl, or else R'” represents a (C5-Ci0)cycloalkyl group such as norbornyl, or isobornyl preferably isobornyl.

[0093] - by "non-crosslinked polymer" is meant a homopolymer or a copolymer, said polymers comprising several repeating units selected from units (A) as well as their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates; and not comprising any unit selected from units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates;

[0094] - by "crosslinked polymer" is meant a homopolymer or copolymer, said polymers comprising several repeating units selected from units (A) together with their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and at least one unit selected from units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and / or (A15) as defined above or mixtures thereof, together with their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates;

[0095] - by "R],R2,R3,R4, R'4 of the different units (A), (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A113), (A14) and / or (A115) may be identical or different; it is understood that:

[0096] - the radicals R i of different units (A) may be identical or different between them and identical or different from the radicals R i of the possible units (Al), (A2), (A4), (A5), (A8), (A9), and / or (Garlic), may also be identical or different from each other.

[0097] - the radicals R 2 of different units (A) may be identical or different between them and identical or different from the R 2 radicals of the possible units (A2), (A3), (A4), (A6), (Ail), (A12), and / or (A13), also identical or different from each other,

[0098] - the R 3 radicals of different units (A) may be identical or different from each other them and identical or different from the R 3 radicals of possible units (Al), (A3), (A4), (A6), (A7), (A8), and / or (A15) also identical or different from each other and the R 4 radicals and / or R' 4 of different units (A) may be identical or different from each other and identical or different from the R 4 radicals of possible units (Al), (A2), (A3), (A5), (A7), (A12), and / or (A14) also identical or different from each other.

[0099] - by "fatty substance" is meant an organic compound immiscible in water ordinary room temperature (25°C) and atmospheric pressure (760 mm Hg) (solubility less than 5%, preferably 1%, and even more preferably 0.1%). Their structure contains at least one hydrocarbon chain with at least six carbon atoms or a chain of at least two siloxane groups. Furthermore, fats are generally soluble in organic solvents under the same temperature and pressure conditions, such as ethanol, ether, petrolatum, or decamethyl cyclopentasiloxane. These fats are neither polyoxyethylenated nor polyglycerolated. They differ from fatty acids because salified fatty acids constitute soaps, which are generally soluble in aqueous media.

[0100] - by "liquid" fat, we mean in particular a fat that is liquid at 25 °C and 1 atmosphere, preferably said fat has a viscosity less than or equal to 7000 centipoise at 20 °C;

[0101] - by "hydrocarbon" fat is meant a fat which comprises at least 50 % by weight, in particular from 50 to 100% by weight, for example from 60 to 99% by weight, or from 65 to 95% by weight, or even from 70 to 90% by weight, relative to the total weight of said fat, of carbon compound, having an overall solubility parameter according to the HANSEN solubility space less than or equal to 20 (MPa)l / 2, or of a mixture of such compounds;

[0102] - The overall solubility parameter d according to the HANSEN solubility space is defined in Grulke's article "Solubility parameter values" in the "Polymer Handbook" 3rd edition, Chapter VII, pages 519-559 by the relation d = (dD² + dP² + dH²)¹ / ² in which: - dD characterizes the London composition forces arising from the formation of induced dipoles during molecular collisions, - dP characterizes the DEBYE interaction forces between permanent dipoles, - dH characterizes specific interaction forces (hydrogen bond type, acid / base, donor / acceptor, etc.); The definition of solvents in three-dimensional solubility space according to HANSEN is described in HANSEN's article: "The three dimensional solubility parameters" J. Paint Technol. 39, 105 (1967);

[0103] - by "oil" is meant a liquid fat at room temperature at temperature ambient (25 °C) and atmospheric pressure;

[0104] - by "hydrocarbon oil" is meant an oil formed essentially, or even composed of carbon and hydrogen atoms, and possibly oxygen and nitrogen atoms, and not containing silicon or fluorine atoms. It may contain hydroxy, ester, ether, carboxylic acid, amine and / or amide groups;

[0105] - by "volatile oil" is meant an oil (or non-aqueous medium) capable of evaporate on contact with keratinous materials, particularly the skin, in less than one hour, at room temperature and atmospheric pressure. Volatile oil is a volatile cosmetic oil, liquid at room temperature, having in particular a non-zero vapor pressure, at room temperature and atmospheric pressure, in particular, having a vapor pressure ranging from 0.13 Pa to 40,000 Pa (103 to 300 mm Hg), and preferably ranging from 1.3 Pa to 13,000 Pa (0.01 to 100 mm Hg), and preferably ranging from 1.3 Pa to 1300 Pa (0.01 to 10 mm Hg);

[0106] - by "non-volatile oil" is meant an oil having a vapor pressure less than 0.13 Pa at room temperature and atmospheric pressure;

[0107] - by "siliconized oil" is meant an oil comprising at least one atom of silicon, and in particular at least one Si-O group. Silicone oil can be volatile or non-volatile;

[0108] - by "pigment" is meant all pigments that impart color to materials keratin-based, of synthetic or natural origin, the solubility of the pigments in water at 25 °C and atmospheric pressure (760 mmHg) is less than 0.05% by weight, and preferably less than 0.01%;

[0109] - by "lacquer" we mean colorants adsorbed onto insoluble particles, The resulting mixture remains insoluble during use. Examples of inorganic substrates onto which dyes are adsorbed include alumina, silica, calcium sodium borosilicate or calcium aluminum borosilicate, and aluminum. Among organic dyes, cochineal carmine is a notable example.

[0110] - by "dyes" we mean oxidation dyes and direct dyes Used to color keratinous materials, particularly human materials such as skin and / or hair, dyes can be natural or synthetic.

[0111] - by "active ingredient for the care of keratinous materials", we mean free radical scavengers, antioxidants, anti-aging actives, depigmenting agents, soothing agents, moisturizing agents, vitamins, anti-dandruff agents, barrier function modulating agents;

[0112] - by "UV-A filter" is meant any filtering (or absorbing) compound Ultraviolet (UV) radiation in the wavelength range from 320 nm to 400 nm. We can distinguish between short UV-A filters (absorbing rays at a wavelength between 320 and 340 nm) and long UV-A filters (absorbing rays at a wavelength between 340 and 400 nm).

[0113] - by "UV-B filter" is meant any compound that filters (or absorbs) a Ultraviolet (UV) radiation in the wavelength range from 280 nm to 320 nm.

[0114] UV-A and / or B filters can be organic or inorganic.

[0115] - by "organic" UV filter is meant a hydrocarbon UV-A and / or UV-B filter comprising at least one aromatic group, free of minerals.

[0116] - by "inorganic" UV filter means a mineral UV-A and / or UV-B filter.

[0117] - by "anhydrous" dispersion or composition means a composition or composition containing less than 2% by weight of water, or even less than 0.5% of water, and in particular free of water; where applicable, such small quantities of water may in particular be introduced by ingredients of the composition which may contain residual amounts;

[0118] - by "special effects pigments" is meant pigments which create in a way In general, a colored appearance (characterized by a certain shade, vibrancy, and clarity) that is non-uniform and changes depending on the viewing conditions (light, temperature, viewing angles, etc.). They are thus contrasted with colored pigments, which provide a uniform opaque, semi-transparent, or classically transparent tint; and

[0119] - the radical "aryl" can be substituted by at least one substituent carried by a carbon atom, chosen from:

[0120] * an alkyl radical in Ci-C4,;

[0121] * halogen;

[0122] * hydroxyl;

[0123] * alkoxy in Ci-C2;

[0124] * (poly)-hydroxy C2-C4 alkoxy;

[0125] * amino ;

[0126] * an amino radical substituted by one or two alkyl radicals, identical or different, in CrC4,

[0127] * acylamino (-NR-C(O)-R') in which the radicals R and R' are identical or different, represent a hydrogen atom, or a C1-C4 alkyl radical;

[0128] * carbamoyl ((R)2N-C(O)-) in which the radicals R and R' are such as defined previously;

[0129] * alkylsulfonylamino (R'-S(O)2-N(R)-) in which the radical R and R' are such that defined previously;

[0130] * an aminosulfonyl radical ((R)2N-S(O)2-) in which the R radicals, identical or no, they represent a hydrogen atom, an alkyl radical in Ci-C4;

[0131] * carboxylic acid or salt form (preferably with an alkali metal or an ammonium, substituted or not);

[0132] * cyano ;

[0133] * nitro or nitroso;

[0134] * polyhaloalkyl, preferably trifluoromethyl;

[0135] * alkylcarbonylamino (RC(O)-N(R')-) in which the radical R is such as defined previously and R' represents a hydrogen atom, an alkyl radical in CrC4 possibly bearing at least one hydroxyl group and the radical R is an alkyl radical in CrC2, amino possibly substituted by one or two identical or different alkyl groups in CrC4;

[0136] * alkylcarbonyloxy (RC(O)-O-) in which the radical R is an alkyl radical in Ci -C4, amino group possibly substituted by one or two identical or different alkyl groups in CrC4;

[0137] * alkoxycarbonyl (RGC(O)-) wherein the radical R is an alkoxy radical in Ci -C4, G is an oxygen atom, or an amino group possibly substituted by an alkyl group in Ci-C4;

[0138] - By "oxidative degradation" is meant ozonolysis or strong oxidation such as carried out in the presence of manganese or dichromates of alkali metals, preferably hot;

[0139] - By "ozonolysis" is meant the reaction of a polymer comprising a or several repeating units chosen from the units (A) and possibly including one or more units (Al) to (A 15) with an ozone molecule the expression "at least one" is equivalent to "one or more";

[0140] - the boundaries of a domain of values ​​are included in that domain, in particular in the expressions "between" and "ranging from ... to ..."; and

[0141] the expression "inclusively" for a range of concentrations means that the bounds of the range are part of the defined interval;

[0142] The use

[0143] The invention thus relates to the cosmetic use of a) one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) or a composition containing them, for the treatment of human keratinous materials, in particular a) human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) human skin, said homopolymer(s) a1) and / or copolymer(s) a2) comprising i) several repeating units selected from the units (A) as described above, as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates, and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and / or (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral,and their solvates such as hydrates,

[0144] According to one embodiment, the application to said keratinous materials is carried out with a composition, preferably cosmetic, which contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2) said polymers comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and b) possibly one or more crosslinking agents.

[0145] According to a particular embodiment, the application on said keratinous materials is carried out with a composition, preferably cosmetic, which contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2) said polymers comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and b) possibly one or more crosslinking agent(s), preferably without crosslinking agent b).

[0146] According to a particular embodiment, the application on said keratinous materials is carried out with a composition, preferably cosmetic, which contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2) said polymers comprising several repeating units selected from i) units (A) and their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and no unit selected from units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and (A15) as defined above and b) one or more crosslinking agent(s).

[0147] According to a particular embodiment, the application to said keratinous materials is carried out with a composition, preferably cosmetic, which contains a) one or more homopolymer(s) a1) comprising several repeating units selected from i) the (A) units as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates, optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above, and optionally b) at least one crosslinking agent, said composition further comprising c) at least one fatty substance as defined above, or d) at least one colorant or e) at least one pigment or f) at least one active ingredient for the conditioning of keratinous materials, in particular of the skin or g) at least one UV(A) and / or UV(B) filter or their mixture c) to g),it being understood that said composition does not include copolymer a2). ,

[0148] According to a particular embodiment, the application to said keratinous materials is carried out with a composition, preferably cosmetic, which contains a) one or more copolymer(s) a2) comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and b) optionally one or more crosslinking agents, said composition comprising in in addition to c) at least one fat as defined above,or d) at least one colorant or e) at least one pigment or f) at least one active ingredient for the care of keratinous materials, particularly of the skin, or g) at least one UV(A) and / or UV(B) filter or a mixture thereof (c) to (g), it being understood that said composition does not comprise homopolymer (a1).

[0149] When the application on human keratin materials involves b) at least one crosslinking agent, this can be applied sequentially to a) one or more homopolymer(s) a1) and / or one or more copolymer(s) a2), preferably a) then b) or b) can be applied at the same time as a).

[0150] CP compositions

[0151] The invention relates to a CP composition, particularly a cosmetic one, which contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2), said polymers comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally iii) one or more units resulting from the polymerization of one or more additional monomer(s) chosen from (Ci-C4)(alkyl)acrylate of (Ci-C22)(cyclo)alkyl preferably (meth)acrylate of (C5-C22)(cyclo)alkyl,and / or b) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl preferably (meth)acrylamide of (C5-C22)(cyclo)alkyl and optionally b) one or more crosslinking agents, it being understood that where the CP composition does not include a crosslinking agent and / or does not include a unit selected from units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) or a unit resulting from the polymerization of one or more additional monomer(s) selected from iii) (Ci-C4)(alkyl)acrylate of (Ci-C22) preferably (cyclo)alkyl (meth)acrylate of (C5-C22)(cyclo)alkyl, and / or iii) (CrC 4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl preferably (meth)acrylamide of (C5-C22)(cyclo)alkyl and that in units (A) the radicals R2 and R3 form a bond together then the composition comprises at least one compound selected from c) fats, preferably liquid at 25 °C and atmospheric pressure, d) dyes, e) pigments, preferably pigments,f) one or more active ingredients for the care of keratinous materials, particularly of the skin, g) UV filters (A) and / or (B), or h) their mixtures (c) to g).

[0152] According to one embodiment, the CP composition contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2), said polymers comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates and optionally b) one or more crosslinking agents, and said CP composition further contains at least one compound chosen from c) fats, preferably liquid at 25 °C and atmospheric pressure, d) colorants, e) pigments, preferably pigments, f) one or more active ingredients for the care of keratinous materials, particularly of the skin, g) UV filters (A) and / or (B), or h) their mixtures c) to g).

[0153] According to one embodiment, the CP composition contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2), said polymers comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates, and ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and / or (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates, and optionally b) one or more crosslinking agents, preferably no crosslinking agent b), and said CP composition possibly containing at least one compound selected from c) fats, preferably liquid at 25 °C and atmospheric pressure, d) colorants,e) pigments, preferably pigments, f) one or more active ingredients for the care of keratinous materials, particularly of the skin, g) UV filters (A) and / or (B), or h) their mixtures (c) to g).

[0154] According to one embodiment, the CP composition contains a) one or more homopolymer(s) al) comprising several repeating units selected from i) the (A) units as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and / or (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally b) one or more crosslinking agent(s) and said CP composition containing at least one compound selected from c) fats, preferably liquid at 25 °C and atmospheric pressure, d) dyes, e) pigments, preferably pigmentsf) one or more active ingredients for the care of keratinous materials, particularly of the skin, g) UV filters (A) and / or (B), or h) mixtures thereof (c) to (g), it being understood that said composition does not include copolymer (a2).

[0155] According to one embodiment, the CP composition contains a) one or more copolymer(s) a2) comprising several repeating units selected from i) the units (A) as well as their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and / or (A15) as defined above or mixtures thereof, as well as their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and possibly b) one or more crosslinking agent(s) and said CP composition possibly containing at least one compound selected from c) fats, preferably liquid at 25 °C and atmospheric pressure, d) colorants, e) pigments, preferably pigments, f) one or more active ingredients for the care of keratinous materials, in particular of the skin, g) UV filters (A) and / or (B), or h) mixtures thereof (c) to (g), it being understood that said composition does not comprise homopolymer (a1).

[0156] According to one embodiment, the composition CP, particularly cosmetic, contains a) one or more homopolymer(s) a1) and / or copolymer(s) a2), said polymers comprising several repeating units selected from i) the units (A) as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and / or (A15) as defined above or mixtures thereof, as well as their optical and geometric isomers, their organic or mineral acid or base salts, and their solvates such as hydrates and iii) one or more units resulting from the polymerization of one or more additional monomer(s) chosen from (Ci-C4)(alkyl)acrylate of (Ci-C22)(cyclo)alkyl preferably (meth)acrylate of (C5-C22)(cyclo)alkyl,and / or iii2) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl preferably (meth)acrylamide of (C5-C22)(cyclo)alkyl and optionally b) one or more crosslinking agents. ,

[0157] According to a particular embodiment, the CP composition of the invention as defined above implements a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units selected from the units (A) in which R i represents a (Ci-C4)alkyl group such as methyl.

[0158] According to a particular embodiment, the CP composition of the invention as defined above implements a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units chosen from the units (A) in which R i represents a -C(O)-OR'4 group.

[0159] According to a particular embodiment of the invention, the cosmetic use of the invention implements a1) one or more homopolymer(s) comprising several repeating units chosen from the units (A) as defined above, it being understood that said use does not implement copolymer a2) comprising several repeating units (A).

[0160] According to another particular embodiment of the invention, the cosmetic use of the invention implements a2) one or more copolymer(s) comprising several repeating units selected from the units (A) as defined above, it being understood that said use does not implement al) of homopolymer comprising several repeating units (A).

[0161] According to yet another particular embodiment of the invention, the cosmetic use of the invention implements a1) one or more homopolymer(s) comprising several repeating units chosen from the units (A) as defined above and a2) one or more copolymer(s) comprising several repeating units chosen from the units (A) as defined above.

[0162] According to one embodiment, the composition of the invention comprises a1) one or more homopolymer(s) comprising several repeating units selected from the units (A) as defined above, and comprises one or more copolymer(s) a2) comprising several repeating units (A) as defined above.

[0163] According to a particular embodiment of the invention, the cosmetic use of the invention implements a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units selected from the units (A) in which R i represents a (Ci-C4)alkyl group such as methyl.

[0164] According to a particular embodiment of the invention, the cosmetic use of the invention implements a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units chosen from the units (A) in which R i represents a -C(O)-OR'4 group.

[0165] According to a particular embodiment of the invention, the cosmetic use of the invention and / or the CP composition of the invention implements one or more a2) copolymer(s) comprising several repeating units selected from the units (A) and one or more units resulting from the polymerization of one or more additional monomer(s) iii) selected from i) (Ci-C4)(alkyl)acrylate of (Ci-C22)(cyclo)alkyl, preferably (meth)acrylate of (C5-C22)(cyclo)alkyl, and / or ii) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl, preferably (meth)acrylamide of (C5-C22)(cyclo)alkyl (named copolymer X).

[0166] Preferably the additional monomer(s) iii) is / are chosen from the monomers of the following formula (II): H 2 C=C(R 6 )-C(O)-ER 5 formula (II) in which E represents an oxygen atom or N(R), preferably E represents an oxygen atom, with R representing a hydrogen atom or (CrC4)alkyl group such as methyl, and R 6 represents a hydrogen atom, a (Ci-C4)alkyl group such as methyl and R s representing: - a (Ci-C22)alkyl group, preferably (Ci-C2o)alkyl, more preferably (Ci-Cio)alkyl, linear or branched, possibly interrupted by one or more oxygen atoms, preferably R5 represents methyl, ethyl, n-propyl, i-propyl, n-butyl, s-butyl, t-butyl, n-hexyl, n-heptyl, 2-ethylhexyl, n-octyl, i-octyl, n-decyl, stearyl, methoxyethyl, ethoxyethyl and methoxypropyl isodecyl, lauryl, stearyl, hexadecyl, more preferably methyl, or - a (C5-C22)cycloalkyl group, preferably (C5-C20)cycloalkyl, in particular cyclohexyl, norbornyl or isobornyl, preferably isobornyl or - an aryl or aryl(Ci-C4)alkyl group such as benzyl.

[0167] Preferably R 6 represents a hydrogen atom or a (Ci-C4)alkyl group such as methyl.

[0168] Examples of preferred R groups are methyl, ethyl, n-propyl, i-propyl, n-butyl, s-butyl, t-butyl, n-hexyl, n-heptyl, 2-ethylhexyl, isobornyl, cyclohexyl, and more preferably, methyl, ethyl, i-propyl, t-butyl, isobornyl groups.

[0169] Particularly after obtaining the copolymers X as defined above, the latter are hydrolyzed leading to copolymers comprising polymeric units of the following formula (III):

[0170] [Chem.5]

[0171] formula (III) wherein R6 is as defined previously in formula (II), and A represents a hydroxy, amino, or M+ group with M+ as defined previously in formula (A).

[0172] According to another particular embodiment of the invention, the cosmetic use of the invention and / or the CP composition of the invention implement a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units selected from the units (A) in which R2 and R3 represent a hydroxy group.

[0173] More specifically, according to this embodiment, all or part of the polymeric units (A) are polymeric units (B):

[0174] [Chem.6]

[0175] formula (B) wherein R i and R 4 are such as defined previously in formula (A); particularly the polymeric units (B) are such that R4 represents a hydrogen atom or an M+ representing a cationic counterion, preferably an alkali or alkaline earth metal cation, or ammonium, a primary, secondary or tertiary (Ci-C8)alkylamine which may comprise one or more nitrogen and / or oxygen atoms (such as 2-amino-2-methyl-2-propanol, triethanolamine, 2-dimethylamino-2-propanol, lysine or 3-(dimethylamino)propylamine) and may comprise several alcohol functions, it being understood that at least one of the nitrogen atoms is protonated by a hydrogen atom so as to form an ammonium, it being understood that each of these amines is protonated.The said units (B) can then be found in the form of a cyclized polymer unit (Bl), particularly in acidic media. According to one embodiment, the polymer units (B) for which R4 represents a hydrogen atom or an M+ as defined above, can be found in the form of a cyclized polymer unit (Bl), particularly in acidic media: .

[0176] (B) (Bl)

[0177] According to one embodiment, the polymeric units (B) such that Ri represents a -C(O)-OR' 4 group, in particular carboxy, or carboxylate -C(O)OM, are represented by the formula (B'):

[0178] [Chem.8] (B')

[0179] Said polymeric units (B') can cyclize, particularly in acidic media, to give rise to bicyclic units (B'1):

[0180] [Chem.9]

[0181] According to another particular embodiment, the cosmetic use of the invention and / or the CP composition of the invention implements a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units chosen from the units (A) in which R2 and R3 together form a bond.

[0182] More specifically, the polymeric units (A) in which R2 and R3 together form a bond, are polymeric units (C) as well as their optical, geometric and solvated isomers such as hydrates;

[0183] [Chem.10] (C)

[0184] formula (C) in which Ri and R4 are such as defined previously in formula (A).

[0185] According to one embodiment, the polymeric units (C) such that R 1 represents a -C(O)-OR' 4 group, in particular carboxy, or carboxylate -C(O)OM, are represented by the formula (C'):

[0186] [Chem. 11] (C')

[0187] Formula (C') with R 4 and R' 4, identical or different, preferably identical, being such as defined previously in formula (A).

[0188] According to another particular embodiment of the invention, the cosmetic use of the invention and / or the CP composition of the invention implement a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units chosen from the units (A) in which R2 and R3 together form a saturated or unsaturated heterocycle, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, preferably 3 links such as epoxy.

[0189] More specifically, polymeric units (A) for which R2 and R3 together form a saturated or unsaturated heterocycle, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, preferably with 3 links such as epoxy, are polymeric units (D) as well as their optical and solvated isomers such as hydrates;

[0190] [Chem. 12] (D)

[0191] formula (D) in which Ri and R4 are such as defined previously in formula (A).

[0192] According to one embodiment, the polymer units (D) for which Ri represents a -C(O)-OR'4 group, in particular carboxy, or -C(O)0M are the polymer units (D'):

[0193] [Chem. 13] (D')

[0194] Formula (D') with R 4 and R' 4, identical or different, preferably identical, being such as defined previously in formula (A).

[0195] According to another particular embodiment of the invention, the cosmetic use of the invention and / or the CP composition of the invention implements a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units selected from the units (A) in which R4 and / or R4' represents i) a hydrogen atom.

[0196] According to another particular embodiment of the invention, the cosmetic use of the invention and / or the CP composition of the invention implement a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units selected from the units (A) in which R4 and / or R4' represents ii) a cationic counterion M+ preferably an alkali or alkaline earth metal cation, or ammonium, a primary, secondary or tertiary (Ci-C8)alkylamine which may comprise one or more nitrogen and / or oxygen atoms and may therefore comprise, for example, several alcohol functions, it being understood that at least one of the nitrogen atoms is protonated by a hydrogen atom so as to form an ammonium. Examples include 2-amino-2-methyl-2-propanol, triethanolamine, dimethylamino-2-propanol, lysine, and 3-(dimethylamino)propylamine, with each of these amines being protonated.

[0197] Preferably, M+ is selected from alkali metals such as Na+, Li+, K+, alkaline earth metals such as Ca2+, and metal Zn2+, or the following protonated amines: protonated amino-2-methyl-2-propanol, or protonated triethanolamine.

[0198] According to another particular embodiment of the invention, the cosmetic use of the invention and / or the CP composition of the invention implement a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several units repetitive selected from units (A) in which R 4 and / or R 4 ' represent(s) iii) a hydrocarbon group, saturated or unsaturated, linear or branched, non-cyclic, or saturated or unsaturated cyclic, aromatic or non-aromatic, comprising from 1 to 30 carbon atoms, preferably from 2 to 20 carbon atoms, preferably said hydrocarbon group is saturated, acyclic, linear or branched, or cyclic. According to a preferred embodiment, R 4 and / or R 4' represents(s) a (Ci-Ci8)alkyl group, preferably a (Ci-Ci2)alkyl group, linear or branched, optionally interrupted by one or more heteroatoms such as oxygen, in particular selected from methyl, ethyl, n-propyl, i-propyl, n-butyl, sec-butyl, t-butyl, n-hexyl, n-heptyl, 2-ethylhexyl, n-octyl, i-octylet more preferably selected from t-butyl, n-octyl.

[0199] According to another embodiment R 4 and / or R 4 ' represents(s) a saturated or unsaturated, aromatic or non-aromatic cyclic hydrocarbon group comprising from 2 to 20 carbon atoms, preferably is(s) chosen from saturated cyclic groups (C5-Ci2)cycloalkyl such as cyclohexyl or isobomyl, aromatic unsaturated cyclic groups such as (C6-Ci2)aryl or (C6-Ci2)aryl(Ci-C4)alkyl such as benzyl.

[0200] Examples of preferred R4 and / or R4 groups are the ethyl, propyl, isopropyl, n-butyl, sec-butyl, t-butyl, 2-ethylhexyl, n-octyl, isooctyl, isobomyl, cyclohexyl, benzyl, and more preferably R4 and / or R4' represents an ethyl, i-propyl, t-butyl, n-octyl, or isobomyl group,

[0201] According to a particular embodiment of the invention, the cosmetic use of the invention, and / or the CP composition of the invention implements a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units selected from the units (A) to (D') as defined above in which R4 and R4', identical or different, represent iii) a hydrocarbon group, saturated or unsaturated, linear or branched, non-cyclic, or saturated or unsaturated cyclic, aromatic or non-aromatic, comprising from 1 to 30 carbon atoms; preferably comprising from 2 to 20 carbon atoms, preferably said hydrocarbon group is saturated acyclic linear or branched, or cyclic, said hydrocarbon group being further substituted by one or more (di)(Ci-C4)(alkyl)amino groups;and / or interrupted by one or more a') heteroatoms chosen from O, N(Ra), and Si(Rb)(Rc), b') S(O)r with r = 1, 2 or 3 or carbonyl, c') or associations of a') with b') such as -C(O)-O-, -OC(O)-, amide -C(O)- N(Ra)-, -N(Ra)-C(O)-, methane -N(Ra)-C(O)-O- or -OC(O)- N(Ra)-, urea -N(Ra)-(CO)- N(Rb)-, carbonate -OC(O)-O-, -[O-Si(Rb)(Rc)]p- or -[(CRa2)pO]q- with p an integer greater than or equal to 1 preferably between 1 and 200, and q represents an integer between 1 and 4; with q between 1 and 200, in which R a represents a hydrogen atom, R b and R c, being as defined previously, preferably represent a (CrC4)alkyl group such as methyl. ; b) the crosslinking agent(s):

[0202] According to one embodiment of the invention, the use, and / or the CP composition, in addition to the presence of i) a1) one or more homopolymer(s) and / or a2) copolymer(s) comprising several repeating units selected from units (A) to (D') as defined above, and ii) at least one unit selected from units (A1) to (A15) as defined above or mixtures thereof, and / or implement or contain b) one or more crosslinking agent(s);units (Al) to (A 15) containing one or more RET groups, identical or different, representing a group resulting from the crosslinking of at least one reactive group of at least one unit (A) preferably of at least one hydroxy group and / or at least one -C(O)-OR'4 group and / or -C(O)-OR4 of a unit (A) with at least one crosslinker in particular chosen from crosslinkers b-1) to b-8), preferably chosen from (S'), (E), (F), (G), (H), (I), (J), (K), (L), (M), (N), (O) and (P) as defined below, more preferably chosen from (S'), (E), (F), (K), and (O). ;

[0203] According to one embodiment, the crosslinking of the polymers preferably takes place at motifs other than the double bonds originating from sorbic or muconic acid. Thus, crosslinked polymers possessing a significant number of double bonds can then be easily degraded by ozonolysis, which is not the case for polymers that no longer possess double bonds following their crosslinking.By "crosslinking agent" we mean more particularly a chemical compound capable of linking by at least two atoms by (photo)chemical, thermal, catalytic, and / or enzymatic reaction with units (A) to (D') as defined above, RET, identical or different, representing a group resulting from the crosslinking of at least one reactive group of at least one unit (A) preferably of at least one hydroxy group and / or at least one -C(O)-OR'4 group and / or -C(O)-OR4 of one unit (A) with at least one crosslinking agent in particular chosen from crosslinking agents b-1) to b-8), preferably chosen from (S'), (E), (F), (G), (H), (I), (J), (K), (L), (M), (N), (O) and (P) as defined below, more preferably chosen from (S'), (E), (F), (K), and (O).

[0204] According to one embodiment, a "crosslinking agent" is understood to be a compound capable of forming at least two covalent bonds with at least two reactive functions of at least one unit (A), said reactive functions preferably being selected from hydroxyl groups and / or -C(O)-OR'4 and / or -O(O)-O1^ groups of at least one unit (A). In particular, crosslinking agents have the formula (S'):

[0205] [Chem. 14] ''P (S')

[0206] Formula (S') in which: - Heart represents a multivalent radical, polymeric or non-polymer, in particular Heart represents: • either i) a multivalent, acyclic, saturated or unsaturated, linear or branched, or cyclic, saturated or unsaturated, aromatic or non-aromatic hydrocarbon group comprising from 2 to 40 carbon atoms, particularly 3 to 36 carbon atoms, said hydrocarbon group being able to a) be interrupted by one or more heteroatoms or groups selected from oxygen, sulfur, nitrogen, silicon, or -[O-Si(Rb)(Rc)]p- atoms, with Rb, Rc being as defined above and p between 1 and 200, carbonyl -C(O)-, or their combinations such as ester -C(O)-O-, -OC(O)-, amide -C(O)-N(R')-, -N(R')-C(O)-, urethane -N(R')-C(O)-O- or -OC(O)-N(R')-, urea -N(R')-(CO)-N(R')-, or carbonate -OC(O)-O-, in which R' represents a hydrogen atom, an alkyl group having from 1 to 4 carbon atoms; • either ii) an organic polymer, preferably selected from an ethylenic homopolymer, ethylenic copolymer; • either iii) an inorganic polymer; or • either iv) a hybrid polymer; it being understood that the core in its polymer form ii), iii), or iv) may be dendrimeric, or hyperbranched; and

[0207] - m, n, and p, identical or different, represents an integer of preference between 0 and 10, more preferably between 0 and 5, it being understood that the sum of m+n+p is greater than or equal to 2, preferably between 2 and 10.

[0208] According to another embodiment, "crosslinking agent" means a compound capable of forming at least one covalent bond with at least one reactive function Fl of at least one unit (A) and at least one different reactive function F2 of Fl capable of reacting with at least one component of the composition to create a network. For example, Fl could be an amino group and F2 an alkoxysilane group such as ethoxysilane. According to a particular embodiment, the crosslinking agent(s) is / are chosen from: 1) organic compounds comprising at least 2 heterocyclic groups comprising 3 to 10 members (preferably 3 members), and 1 to 3 heteroatoms such as O, S, N, and / or 1 to 3 carbonyls, preferably epoxide or aziridine; or 2) organic compounds comprising at least one electron-donating group such as a primary amine or secondary amine such as amino, hydroxy, or thiol, preferably at least two electron-donating groups such as hydroxy, amino, or thiol; and 3) (in)organic compounds comprising at least one phosphorus group -OP(O)(OH)2j-OP(O)(O M+)2, -P(O)(OH)2or -P(O)(O M+)2 with M+ as defined above.

[0209] The homopolymer(s) a1) and / or the copolymer(s) a2) comprising several repeating units selected from units (A) to (D') as defined above is / are particularly crosslinked by reaction one or more compounds containing at least 2 epoxide functions (epoxide crosslinker), or at least 1 amine function (amine crosslinker) and another reactive function, or at least 2 acid functions, or at least one acid function and at least one amine function, or at least 2 thiol functions, or at least 2 aziridine functions, or at least two alcohol functions or an (in)organic compound comprising at least one phosphorus group OP(O)(OH)2j-OP(O)(O M+)2, -P(O)(OH)2 or -P(O)(O M+)2 with M+ as defined above.

[0210] The homopolymer(s) a1) and / or the copolymer(s) a2) comprising several repeating units selected from units (A) to (D') as defined above is / are particularly crosslinked by reaction of one or more compounds selected from b-1), b-2), b-3), b-4), b-5), b-6), b-7) and b-8) and their mixtures.

[0211] b-1) Crosslinking agent comprising at least 2 epoxide functions:

[0212] According to one embodiment of the invention, the crosslinking agent(s) is / are chosen from those of family 1) as defined above, and more particularly from the epoxy crosslinking agents of formula (E) below:

[0213] [Chem. 15] Heart

[0214] Formula (E) wherein: - n represents an integer greater than or equal to 2, preferably between 2 and 10, more preferably between 3 and 5; - Core is as defined previously in formula (S')«

[0215] Preferably the crosslinkers of formula (E) are such that Core represents an acyclic, linear or branched, saturated, polyvalent (particularly divalent or trivalent) hydrocarbon group comprising from 2 to 20 carbon atoms, better from 3 to 10 carbon atoms, optionally interrupted by one or more heteroatoms such as oxygen, and n is as defined previously preferably equals 2 or 3.

[0216] These may be polyglycidyl ethers of alkane polyols or polyglycidyl ethers of poly(alkylene glycol) such as, but not limited to, ethylene glycol diglycidyl ether, diethylene glycol diglycidyl ether, polyethylene glycol diglycidyl ether, propylene glycol diglycidyl ether, 1,3-butanediol diglycidyl ether, 1,4-butanediol diglycidyl ether, neopentyl glycol diglycidyl ether, glycerol diglycidyl ether, glycerol triglycidyl ether, trimethylolpropane diglycidyl ether, trimethylolethane triglycidyl ether, triethylolpropane diglycidyl ether, triethylolethane triglycidyl ether, glycerol propoxylate triglycidyl ether, pentaerythritol tetraglycidyl ether, castor oil polyglycidyl ether, sorbitol polyglycidyl ether, polyglycerol polyglycidyl ether, bisepoxides of alkanes or aralkanes such as 1,2,3,4-diepoxybutane, 1,2,4,5-diepoxypentane, 1,2,5,6-diepoxyhexane, 1,2,7,8-diepoxyoctane, 1,4- and 1,3-divinylbenzene diepoxides, bisphenol A diglycidyl ether,bisphenol F diglycidyl ether, resorcinol diglycidyl ether and mixtures of these polyepoxides.

[0217] We will prefer ethylene glycol diglycidyl ether, diethylene glycol diglycidyl ether, polyethylene glycol diglycidyl ether, propylene glycol diglycidyl ether, 1,3 -butanediol diglycidyl ether, 1,4-butanediol diglycidyl ether, neopentyl glycol diglycidyl ether, glycerol diglycidyl ether, glycerol triglycidyl ether, trimethylolpropan e diglycidyl ether, trimethylolethane triglycidyl ether, triethylolpropane diglycidyl ether, triethylolethane triglycidyl ether, glycerol propoxylate triglycidyl ether, pentaerythritol tetraglycidyl ether and more particularly ethylene glycol diglycidyl ether (EGDE) and trimethylol propane triglycidyl ether (TPTE).

[0218] b-2) Crosslinking agent containing at least 1 amine function:

[0219] Crosslinking agents containing at least one amine function comprise at least two reactive groups, of which at least one is an amine function.

[0220] According to one embodiment, the crosslinkers b-2) comprise at least two amine functions and preferably only amine functions as a reactive function.

[0221] According to another embodiment, the crosslinkers b-2) comprise an amine function and at least one other reactive function other than an amine function.

[0222] According to one embodiment of the invention, the crosslinking agent(s) is / are chosen from those of family 2) as defined above, and more particularly from the amine crosslinking agents of formula (F) below

[0223] [Chem. 16]

[0224] Formula (F) in which n, and Core are such as defined previously for (E) and R represents a hydrogen atom, a (Ci-C6)alkyl group, linear or branched optionally substituted by one or more aryl groups such as phenyl.

[0225] According to one embodiment, the amine crosslinking agent(s) used in the invention are chosen from among amine compounds having one or more primary and / or secondary amine groups. They can therefore be chosen from among monoamine, diamine, triamine, or multiamine compounds.

[0226] According to one embodiment, the amine crosslinker(s) may comprise from 2 to 40 carbon atoms, in particular 3 to 36 carbon atoms, or even 4 to 24 carbon atoms.

[0227] According to another embodiment, the amine crosslinker(s) are polymeric having a weight average molecular weight ranging from 500 to 1,000,000, preferably ranging from 500 to 500,000, and preferably ranging from 500 to 100,000.

[0228] Among the amine crosslinking agents, mention may be made of n-butylamine, tert-butylamine, risobutylamine, propylamine, n-hexylamine, glycine, ethanolamine, 3-aminopropanol, dopamine, 7-amino-4-methylcoumarin, 1,4-bis(3-aminopropyl)piperazine, 3-aminopropyltriethoxysilane (APTES), 3-aminophenylboronic acid, N-methyl-1,3-diaminopropane, N-propyl 1,3-diaminopropane, N-isopropyl 1,3-diaminopropane, N-cyclohexyl 1,3-diaminopropane, 2-(3-aminopropylamino)ethanol, 3-(2-aminoethyl)aminopropylamine, bis(3-aminopropyl)amine, methyl bis(3-aminopropyl)amine, the N-(3-aminopropyl)-1,4-diaminobutane, N,N-dimethyldipropylene triamine, 1,2-bis(3-aminopropylamino)ethane, N,N'-bis(3-aminopropyl)-1,3-propanediamine, ethylenediamine, 1,3-propylenediamine, 1,4-butylenediamine, 1,6-hexamethylenediamine, amino acids such as lysine, glutamine, cysteine, glutamic acid, serine, cystamine,Xylenediamine, tris(2-aminoethyl)amine, spermidine.

[0229] Preferably, the amino crosslinking agent(s) is / are selected from n-butylamine, 3-aminopropanol, dopamine, 7-amino 4-methylcoumarin, l,4-bis(3-aminopropyl)piperazine, 3-aminopropyltriethoxysilane (APTES), the N-methyl-1,3-diaminopropane, N-propyl 1,3-diaminopropane, N-isopropyl 1,3-diaminopropane, N-cyclohexyl 1,3-diaminopropane, 2-(3-aminopropylamino)ethanol, 3-(2-aminoethyl)aminopropylamine, bis(3-aminopropyl)amine, methyl bis(3-aminopropyl)amine, N-(3-aminopropyl)-1,4-diaminobutane, N,N-dimethyldipropylene triamine, 1,2-bis(3-aminopropylamino)ethane, N,N'-bis(3-aminopropyl)-1,3-propanediamine, ethylenediamine, 1,6-hexamethylenediamine, lysine, glutamic acid, serine, cysteine, glutamine.

[0230] According to one embodiment, the amine crosslinker(s) is / are chosen from among amine organic polymers, in particular having a weight average molecular weight from 500 to 1,000,000, preferably from 500 to 500,000, and preferably from 500 to 100,000.

[0231] According to a particular embodiment of the invention, the amino crosslinking agent(s) is / are chosen from among poly((C2-C5)alkylene imines), and in particular polyethyleneimines and polypropyleneimines, notably poly(ethylene imine) (for example, that sold under reference 46,852-3 by Aldrich Chemical); poly(allylamine) (for example, that sold under reference 47,913-6 by Aldrich Chemical); polyvinylamines and their copolymers, in particular with vinylamides; one can notably mention vinylamine / vinylformamide copolymers such as those marketed under the name LUPAMIN® 9030 by BASF; polyamino acids having NH2 groups such as polylysine, for example, that sold by JNC Corporation (formerly Chisso); Amino dextran, such as that sold by CarboMer Inc; acrylamidopropylamine-based copolymers.

[0232] According to one embodiment, the amine crosslinker(s) is / are chosen from among amine polysaccharide organic polymers such as chitosans.

[0233] According to a particular embodiment of the invention, the amine crosslinking agent(s) is / are selected from inorganic or hybrid polymers, preferably hybrid, in particular selected from polydimethylsiloxanes comprising primary amine groups at the end of the chain and / or on side chains, for example terminal or lateral aminopropyl groups, such as those of formula (G), (H), (I) or (J):

[0234] H2N-ALK-Si(Re)(Rf)-O[Si(R'e)(R'f)O-]u-Si(Re)(Rf)-ALK'-NH2(G)

[0235] Re-Si(Re)(Rf)-O[Si(R'e)(R'f)O-]v-[Si(R'e)(ALK-NH2)-O]w-Si(Re)(Rf)2(H)

[0236] H2N-ALK-Si(Re)(Rf)-O[Si(R'e)(R'f)O-]x-Si(Re)(Rf)-ALK'-H(I)

[0237] Rg-Si(Re)(Rf)-O[Si(R'e)(R'f)O-]y-[Si(R'e)(ALK”-NH-ALK'”-NH2)-O]z-Si(Re)(Rf)-R' g(J)

[0238] Formulas (G), (H), (I) or (J) in which: ALK and ALK', identical or different, preferably identical, represent a linear or branched (Ci-C6)alkylene group, preferably (Cr C4)alkylene such as propylene; - ALK” represents a linear or branched (Ci-C6)alkylene group, preferably (Ci-C4)alkylene such as propylene, - ALK'” represents a linear or branched (Ci-C6)alkylene group, preferably (CrC4)alkylene such as ethylene; — R e, R f, R' e and R' f, identical or different, preferably identical, represent a (CrC4)alkyl group such as methyl; R'e,Rg and R'g, identical and different, represent a hydroxy group, (CrC4)alkyl; - u represents an integer greater than or equal to 2, preferably u represents an integer such that the average molecular weight by weight of silicone is between approximately 500 and 55,000; - v and w represent an integer and are such that the average molecular weight by weight of silicone is between approximately 50 and 3000; - y and z represent an integer and are such that the average molecular weight by weight of silicone is between approximately 5,000 and 500,000.

[0239] Examples of amine-coated silicone (G) include those sold under the names "DMS-A11", "DMS-A12", "DMS-A15", "DMS-A21", "DMS-A31", "DMS-A32", and "DMSA35" by GELEST. Examples of silicone (H) include those sold under the names "AMS-132", "AMS-152", "AMS-162", "AMS-163", "AMS-191", and "AMS-1203" by GELEST. Examples of silicone (I) include those sold under the names "MCR-A11" and "MCR-A12" by GELEST.

[0240] According to one embodiment, the amine crosslinker(s) is / are chosen from among the amine polyethers known in particular under the reference JEFFAMINE from the company HUNTSMAN; and in particular: Polyethylene glycol and / or polypropylene glycol with amine function at the end of the chain (monamine or diamine) such as those sold under the names JEFFANINE M-600, M-1000, M-2005, M-2070, D-230, D-400, D-2000, D-4000, ED600, ED-9000, ED-2003.

[0241] According to one embodiment, the amine crosslinker(s) is / are chosen from polytetrahydrofurans (or polytetramethylene glycol) with amine function at the end of the chain (monoamine or diamine), polybutadienes with amine function at the end of the chain (monoamine or diamine).

[0242] According to another embodiment, the amine crosslinking agent(s) is / are chosen from among dendrimers and hyperbranched polymers with a primary amine function or secondary (PAMAM), and poly(meth)acrylates or poly(meth)acrylamides carrying primary or secondary lateral amine functions such as poly(3-aminopropyl)methacrylamide, poly(2-aminoethyl) methacrylate.

[0243] More preferably, the amine crosslinker(s) is / are chosen from among amine polymers, such as polyethylene imine, polylysine, chitosans, polyethylene oxide and / or propylene oxide with terminal amine groups.

[0244] According to another embodiment, the amino crosslinking agent(s) is / are chosen non-polymer amino compounds such as ethylene diamine, 1,6 hexamethylene diamine, lysine, glutamic acid, glutamine, cysteine, amino polyethers, 3-aminopropyltriethoxysilane (APTES).

[0245] b-3) Crosslinking agent containing at least 2 carboxy(late) functions:

[0246] According to another embodiment, the crosslinker(s) of the invention is / are chosen from organic crosslinkers comprising at least 2 carboxy groups, also called polycarboxylated crosslinkers, and more particularly from the polycarboxylated crosslinkers of formula (K) below, as well as their organic or mineral base salts:

[0247] [Chem. 17]

[0248] Formula (K) in which n, and Core are such as defined previously for (E).

[0249] Among the polycarboxylated crosslinking agents of the invention, the following may be mentioned, alone or in mixture: decanedioic acid, dodecanedioic acid, cyclopropanedicarboxylic acid, cyclohexanedicarboxylic acid, cyclobutanedicarboxylic acid, naphthalene-1,4-dicarboxylic acid, naphthalene-2,3-dicarboxylic acid, naphthalene-2,6-dicarboxylic acid, suberic acid, oxalic acid, malonic acid, succinic acid, phthalic acid, terephthalic acid, isophthalic acid, pimelic acid, sebacic acid, azelaic acid, homophthalic acid, adipic acid, fumaric acid, maleic acid, itaconic acid, cyclohexanetricarboxylic acid, trimellitic acid, 1,2,3-benzenetricarboxylic acid, 1,3,5-benzenetricarboxylic acid;citric acid, butanetetracarboxylic acid, pyromellitic acid, tartaric acid, furan dicarboxylic acid, muconic acid (cis-cis or cis-trans, or trans-trans), sorbic acid (cis-cis or cis-trans, or trans-trans);

[0250] b-4) Crosslinking agent containing at least 2 az.iridine functions:

[0251] According to another embodiment, the crosslinking agent(s) of the invention is / are selected from organic crosslinking agents comprising at least 2 aziridine groups possibly substituted by one or more (Ci-C4)alkyl groups such as methyl, and more particularly among the polyaziridine crosslinkers of formulas (L) or (M) below:

[0252] [Chem. 18] (L) (M)

[0253] Formulas (L) and (M) in which n, and Core are such as defined previously for (E).

[0254] Among the polyaziridine crosslinkers of the invention are polyaziridinyl derivatives of alkane polyols such as, for example, Pentaerythritol tetrakis(beta-aziridino)propionate, pentaerythritol-tris-3-(N-aziridinyl)propionate, trimethylolpropane-tris-3-(N-aziridinyl)propionate, pentaerythritol-bis-3-(N-aziridinyl)propionate and trimethylolpropane-bis-3-(N-aziridinyl)propionate.

[0255] Other examples include polyaziridinyl derivatives of propionic esters of erythritol, pentaerythritol, trimethylolethane, and trimethylolpropane, which can be prepared by adding aziridine to the corresponding acrylate ester of a polyol. Examples include polyaziridine crosslinkers sold by PolyAziridine Global such as PZP-1000, PZE 1000, PZBI-25, PZ-33 (pentaerythritol-tris-3-(l-aziridinyl)propionate), and PZ-28 (trimethylolpropane tris(2-methyl-l-aziridine propionate). Mixtures of the aziridines mentioned above can also be used.

[0256] According to another embodiment, the crosslinking agent(s) of the invention is / are chosen from organic crosslinking agents comprising at least 2 aziridine groups optionally substituted by one or more (Ci-C4)alkyl groups such as methyl, and more particularly from polyaziridine crosslinking agents of formulas (L) or (M) below

[0257] b-5} Mixed crosslinkers containing at least 2 functions, including at least one aziridine and at least one epoxy:

[0258] According to another embodiment, the crosslinker(s) of the invention is / are chosen from organic crosslinkers comprising at least 1 aziridine group optionally substituted by one or more (Ci-C4)alkyl groups such as methyl, and at least one epoxide group, and more particularly from the mixed crosslinkers of formulas (N) below:

[0259] (N)

[0260] Formulas (N) in which - n represents an integer greater than or equal to 1, preferably between 1 and 10, - o, and p, identical or different, represent an integer between 0 and 10, more preferably between 0 and 5, it being understood that the sum of o+p is an integer greater than or equal to 1 and preferably the sum n+o+p is an integer between 2 and 10; - The core is that defined previously for (S')-

[0261] b-6) Crosslinking agent containing at least 2 hydroxy functions

[0262] According to another embodiment, the crosslinking agent(s) of the invention is / are chosen from organic crosslinking agents comprising at least 2 hydroxy groups; and more particularly from polyhydroxylated crosslinking agents chosen from those of the following formula (O):

[0263] [Chem.20]

[0264] Formula (O) in which n, and Core are as defined previously for (E).

[0265] The polyhydroxylated crosslinkers of the invention are more particularly selected from glycerol, ethylene glycol, triethylene glycol, trimethylolpropane, pentaerythritol (tetramethylolmethane), erythritol, diglycerol, xylitol, triglycerol, sorbitol, mannitol or dipentaerythritol, isosorbide, hexamethylene glycol, hexylene glycol, hexanediol, neopentyl glycol, 1,2-propanediol; 11,3-propanediol; 1,2-butanediol, 1,3-butanediol, 2,3-butanediol, 1,4-butanediol; 2,4-butanediol, 3,4-butanediol; 1,4-Pentanediol; 1,5-pentanediol, 2,2,4-Trimethyl-1,3-pentanediol, 1,6-hexanediol, 1,2 octanediol, 1,8 octane diol, 1,10-decanediol, 2,2 di methyl 1,3-propane diol, 3 methyl 1,5 propanediol, hexylene glycol, isoprene glycol, 1,12 octadecanediol, 1,10 decanediol, 1,16 hexadecanediol, 1,12 dodecanediol, pripol 2033, or oligomers comprising 2 alcohol functions such as polypropanediol, polyethylene glycol, polytetramethylene glycol with Mw ranging from 100 to 10000 g / mol and mixtures thereof.

[0266] b-7) Crosslinking agent containing at least 2 thiol functions

[0267] According to another embodiment, the crosslinking agent(s) of the invention is / are chosen from organic crosslinking agents comprising at least 2 thiol groups; and more particularly from polythiol crosslinking agents chosen from those of the following formula (P):

[0268] [Chem.21]

[0269] Formula (P) in which n, and Core are such as defined previously for (E).

[0270] The polythiol crosslinkers of the invention are more particularly selected from Pentaerythritol tetra(3-mercaptopropionate), Trimethylolpropane tris(3-mercaptopropionate).

[0271] b-8) Crosslinking agent (inorganic phosphorus)

[0272] According to another embodiment, the crosslinker(s) of the invention is / are chosen from among phosphorus-containing (in)organic crosslinkers, such as alkali or alkaline-earth metal tri(Ci-C6)alkylphosphates such as alkali or alkaline-earth metal trimethaphosphates (of sodium) and other phosphorus esters.

[0273] The polymer(s)

[0274] Another object of the invention is a polymer selected from: 1. the copolymer(s) a2) statistical, sequenced or gradients comprising i) several identical repeating units selected from units (A) together with their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates and ii) at least one unit selected from units (A1) to (A15) as defined above or mixtures thereof, and / or iii) one or more units resulting from the polymerization of one or more additional monomer(s) selected from üil) (Ci-C4)(alkyl)acrylate of (Ci-C22)(cyclo)alkyl preferably (meth)acrylate of (C5-C22)(cyclo)alkyl, and / or iii2) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl preferably (meth)acrylamide of (C5-C22) (cyclo)alkyl; 2. the statistical, sequenced or gradient copolymer(s) a2) comprising i) at least two different repeating units selected from units (A) and optionally ii) at least one unit selected from units (A1) to (A15) defined above or mixtures thereof, and optionally iii) one or more units resulting from the polymerization of one or more additional monomer(s) selected from iii1) (Ci-C4)(alkyl)acrylate of (CrC22)(cyclo)alkyl, and / or iii2) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl as defined above; 3. homopolymers al) comprising units (A) for which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a bond and R4 and R'4 represent a linear or branched (C3-C8)alkyl group other than i-propyl, n-butyl, and 2-ethylhexyl, as defined above; 4. homopolymers a1) comprising units (A) for which R1 represents a -C(O)-OR'4 group, and R2 and R3 together form a saturated or unsaturated heterocycle, comprising at least one oxygen atom, and comprising 3 to 6 members, as defined above; and 5. homopolymers a1) comprising units (A) in which R2 and R3, identical or different, represent a hydrogen atom or a hydroxy group, it being understood that R2 and R3 cannot simultaneously represent a hydrogen atom, as defined above.

[0275] According to one embodiment, the polymer of the invention is a copolymer 1) comprising units (A) or (C) as defined above and below, wherein Ri represents a (Ci-C4)alkyl group such as methyl, or a -C(O)-OR'4 group, and R2 and R3 together form a bond, R4 and R'4 are as defined above. More preferably, the copolymers 1) are statistical and comprise units (A) in which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a bond, and R4 and R'4 are preferably identical, are as defined above, preferably represent iii) as defined above.

[0276] An object of the invention is a statistical copolymer 2) comprising units (A) or (C') as defined above and below for which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a bond and R4 and R'4 preferably identical, are different from a hydrogen atom, preferably represent iii) as defined above.

[0277] An object of the invention is a homopolymer 3) comprising units (A) or (C') as defined above and below, for which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a bond and R4 and R'4, preferably identical, represent a linear or branched (C3-C8)alkyl group different from the i- propyl, n-butyl, and 2-ethylhexyl such as t-butyl or n-octyl; or a (C3-CiO)cycloalkyl group other than cyclohexyl such as isobornyl

[0278] An object of the invention is a 4) homopolymer or a copolymer 1) or 2) comprising units (A), or (D') as defined above and below, for which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a saturated or unsaturated heterocycle, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, preferably 3 links such that epoxy and R4 and R'4 preferably identical are as defined above.

[0279] An object of the invention is a 5) homopolymer or copolymer 1) or 2) comprising units (A), (B), (Bl), (B') and (B'1) as defined below for which R2 and R3, identical or different, represent a hydrogen atom or a hydroxy group, it being understood that preferably R2 and R3 cannot simultaneously represent a hydrogen atom, preferably R2 and R3 represent a hydroxy group.

[0280] An object of the invention is a homopolymer or copolymer comprising several repeating units chosen from the units (A) to (D') as defined above and below, crosslinked by b) one or more crosslinker(s) (E), (F), (K), and (O), as defined below, in particular of formula (E).

[0281] According to a particular embodiment of the invention, the homopolymer(s) a1) comprises several repeating units distributed statistically among the units (A) which is / are chosen from those of formula (E') as well as their geometric isomers Z / E and solvates such as hydrates:

[0282] [Chem.22]

[0283] (E') Formula (E') in which R representing a hydrogen atom, a cationic counterion, a linear or branched (Ci-Cio)alkyl group, such as ethyl, Representing a hydrogen atom, a cationic counterion, a linear or branched (Ci-Cio)alkyl group other than n-butyl and 2-ethylhexyl such as n-octyl, -butyl, i-propyl, or a cycloalkyl group such as isobomyl and n is an integer greater than or equal to 2 preferably between 10000 and 5, more preferably between 1000 and 10 and even more preferably between 300 and 15.

[0284] More particularly, the homopolymer(s) al) is / are chosen from Al-1 to A1-4 as well as their geometric isomers Z / E and solvates such as hydrates:

[0285] [Tables2] Al-1 PolyIsopropyl Muconate (PDIM) Al-2 Octyl Polymuconate (PDO) M) Al-3 t-Butyl PolyMuconate (PD tBuM) Al-4 Isobornyl polymuconate

[0286] Al-1 to Al-4 homopolymers in which n is an integer greater than or equal to 2, preferably between 10000 and 5, more preferably between 1000 and 10 and even more preferably between 300 and 15.

[0287] According to a particular embodiment of the invention, the copolymer(s) a2) comprises several repeating units distributed statistically among the units (A) which is / are chosen from those of formula (F) as well as their geometric isomers Z / E and solvates such as hydrates:

[0288] [Chem.23] (F)

[0289] Formula (F) in which • R representing a hydrogen atom, a cationic counterion, a linear or branched (Ci-Cio)alkyl group, such as ethyl, • R representing a hydrogen atom, a cationic counter ion, a linear or branched (Ci-Cio)alkyl group, such as n-octyl or t-butyl, • R 12 different from R u, representing a hydrogen atom, a cationic counter ion, a (Ci-Cio)alkyl group, linear or branched, such as ethyl or t-butyl and u and v represent the molar percentage of each statistically distributed repeating unit; • The final degree of polymerization of the polymer is preferably between 10000 and 5, more preferably between 1000 and 10 and even more preferably between 300 and 15.

[0290] Preferably the copolymer(s) a2) comprises several repeating units selected from the units (A) selected from:

[0291] [Tables3] Statistical copolymer Rio Ru u (mol%) Rndifferent from Ru v (mol%) Fl Ci a Cm preferably 1st group Ethyl (C1-C10)alkyl preferably n-octyl or t-butyl or a hydrogen atom or a cationic counter-ion 50 (CrCio)alkyl preferably n-butyl or ethyl or a hydrogen atom or a cationic counter-ion 50 F2 same Same 70 Same 30 F3 same same 80 same 20 F4 same same 90 same 10 F5 same same 95 same 5 F6 same same 60 same 40 F7 same same 40 same 60 F8 same same 30 same 70 F9 same as 20 same as 80 F10 same as 10 same as 90 Wire same as 5 same as 95

[0292] More particularly, the copolymer(s) a2) is / are chosen from A2-1 to A2-4 as well as their geometric isomers Z / E and solvates such as hydrates:

[0293] [Tables4] A2-1 Statistical copolymers P DEM-stat-DOM A2-2 Statistical copolymers P DOM-stat-DtBuM A2-3 Statistical copolymers P DEM-stat-DtBuM A2-4 PDOM-stat-Muconic Acid Statistical Copolymer

[0294] According to one embodiment of the invention, the copolymer(s) a2) comprises several repeating units distributed in a sequential manner, chosen among the units (A) which is / are chosen from those of formula (G) as well as their geometric isomers Z / E and solvates such as hydrates:

[0295] [Chem.24] (G)

[0296] Formula (G) in which • R io representing a hydrogen atom, a cationic counter ion, a (Ci-Cio)alkyl group, linear or branched, such as ethyl; • R h representing a hydrogen atom, a cationic counterion, a linear or branched (Ci-Cio)alkyl group, such as n-octyl; and • R 12 different from R u, representing a hydrogen atom, a cationic counter ion, a (Ci-Cio)alkyl group, linear or branched, such as ethyl, or t-butyl and w and x being the molar percentage of each repeating unit distributed in a sequenced manner; preferably the final degree of polymerization of the polymer (G) between 10000 and 5, more preferably between 1000 and 10 and even more preferably between 300 and 15.

[0297] Preferably the copolymers a2) are of the diblock type of formula G in which:

[0298] [Tables5] Rio diblock copolymer Ru w (mol% •) R^different from Ru x (mol% ol.) G1 Ci to Cio preferably the ment group Ethyl (Ci-Cio)alkyl preferably ethyl, t-butyl or n-octyl 50 (Ci-Cio)alkyl preferably ethy 1 or t-butyl or n-octyl 50 G2 Same Same 60 Same 40 G3 Same Same 70 Same 30 G4 Same Same 80 Same 20 G5 Same Same 90 Same 10 More specifically, the copolymer(s) a2) are of the diblock type chosen from A2-4 to A2-6 as well as their geometric isomers Z / E and solvates such as hydrates:

[0299]

[0300]

[0301] According to one embodiment, the copolymers a2) are of the triblock type and preferably comprise several repeating units selected from the units (A) selected from those of formula (H) as well as their geometric isomers Z / E and solvates such as hydrates:

[0302] [Chem.25]

[0303] formula (H) in which R io, R n and R i2 are as defined previously, R 13 represents an R n group. The final degree of polymerization of the polymer (H) is between 10000 and 5, more preferably between 1000 and 10 and even more preferably between 300 and 15.

[0304] Preferably of formula (H) in which:

[0305] [Tables?] Rio Ru triblock copolymer w (mol%) Rndifferent of Rn x (mol%) R13-R11 y (mol%) H1 CàCwd e preferentially the group Ethyl (C1-C10)alkyl preferably ethyl 33 (CrC10)al kyl preferably n-octyl 33 (CrC10)alky 1 preferably ethyl 33

[0306] More particularly, the copolymer(s) a2) are of the triblock type selected from A2-7 as well as their geometric isomers Z / E and solvates such as hydrates:

[0307] [Tables8] |A2-7 Trib loc copolymer PDEM-block-PDOM-block-PD EM

[0308] According to one embodiment of the invention, the copolymer(s) a2) comprises several repeating units distributed in a sequential manner, chosen from the units (A) which are chosen from those of formula (J) as well as their geometric isomers Z / E and solvates such as hydrates:

[0309] [Chem.26]

[0310] Formula (J) in which • R iQ representing a (Ci-Cio)alkyl group, linear or branched, such as ethyl; • R representing a (Ci-Cio)alkyl group, linear or branched, such as ethyl; • R 12 representing a linear or branched (Ci-Cio)alkyl group, such as ethyl; and • w and x being the molar percentage of each repeating unit distributed in a sequential manner.

[0311] The final degree of polymerization of the polymer is preferably between 10000 and 5, more preferably between 1000 and 10 and even more preferably between 300 and 15.

[0312]

[0313] More specifically, the copolymer(s) a2) are of the diblock type chosen from A2-8 and A2-9 as well as their geometric isomers Z / E and solvates such as hydrates: [Tables 8] A2-8 PDES-PDEM Diblock Copolymer

[0314] And [Chem.26]

[0315] Formula (K) in which • RIO representing a (Ci-Cio)alkyl group, linear or branched, such as methyl; • R'10 representing a hydrogen atom or a linear (Ci-C4)alkyl group or branched, such as methyl; • Rll representing a (Ci-Cio)alkyl group, linear or branched, such as methyl or butyl; • R12 representing a (Ci-Cio)alkyl group, linear or branched, such as ethyl; And • w and x being the molar percentage of each repeating unit distributed sequentially; And more specifically A2-9

[0316] [Tables9] A2-9 Diblock copolymer PMMA-PDEM:

[0317] The polymer preparation process of the invention:

[0318] The process for preparing the polymers of the invention and in particular the polymers 1) to 5) as defined above, includes at least step i) and possibly at least one of steps ii) and iii) as defined in diagram 1 below:

[0319] [Chem.28]

[0320] Scheme 1 in which the double bonds of compounds (IC), (C), (D), (Dl) and (B) may be of Z or E configuration, and (Dl) may be in the form of a salt, preferably of alkali or alkaline earth metals such as sodium, potassium.

[0321] The polymer(s) comprising several repeating units chosen from the units (A) of the invention can be prepared according to route i) from the polycondensation of diene (IC) as well as its geometric isomers Z / Z, Z / E, E / Z or E / E, preferably in the presence of catalyst(s) and / or initiator(s) (radical initiators), in a particularly organic solvent, preferably aprotic, at a temperature less than or equal to 120 °C, to lead to the polymer(s) (C) which can be of configuration Z or E according to the following scheme 2.

[0322] [Chem.29]

[0323] Scheme 2 in which the compound (IC) and the polymer (C) contain radicals R i and R 4 which are as defined previously.

[0324] Preferably, the polymerization (or polycondensation) by route i) is carried out by group transfer (GTP) according to a repetition of "Mukaiyama / Michael" reactions. It is preferably "initiated" by one or more initiator(s) as defined below, in particular by one or more silylated acetal ketene (ACS) type compounds of general structure (a), which add to unsaturated monomers of the "Michael acceptor" type, preferably in the presence of one or more Lewis acid or base type catalyst(s), and preferably using an aprotic solvent (see e.g. OW Webster, WR Hertler, DY Sogah, WB Farnham and TV RajanBabu, J. Am. Chem. Soc., 1983, 105, 5706-5708).The preferred Initiator / Catalyst / Monomer / Solvent mixture enables anionic polymerization carried out either under so-called "living" and "controlled" conditions and allows obtaining statistical homopolymers and copolymers, block, star, hyperbranched or dendrimeric, of well-defined structure, controlled molar masses and low dispersity via in particular the initial Monomer / initiator ratio, particularly the Monomer / initiator ratio is between 10000 and 5, more preferably between 1000 and 10 and even more preferably between 300 and 15. .

[0325] Preferably the molar ratio Initiator / Catalyst is between 10000 and 10, more preferably between 1000 and 5 and even more preferably between 100 and 1.

[0326] According to a preferred embodiment of the invention, the polymerization process does not use an organometallic or malodorous sulfur catalyst used in certain controlled radical polymerization techniques such as ATRP, or RAFT.

[0327] According to one embodiment, the anionic polymerization uses one or more lithia initiator(s), this technique can be carried out at room temperature (25 °C + / - 3 °C) or above and therefore does not require working at very low temperature, which is a major advantage from an industrial point of view.

[0328] According to one embodiment, the process uses one or more catalyst(s) chosen from Lewis acids and bases, and particularly chosen from: - N-heterocyclic carbenes such as 1,3-diisopropyl-4,5-dimethylimidazol-2-ylidene, 1,3-dusopropylimidazol-2-ylidene or 1,3-di-tert-butylimidazol-2-ylidene; - les phosphazènes telles que la l-tert-butyl-4,4,4- tris(dimethylamino)-2,2-bis[tris(dimethylamino)-phosphoranylidenamino]-2A5,4a5 -catenadi(phosphazene) (t-Bu-P4 ou P4-t-Bu), la l-tert-butyl-2,2,4,4,4-pentakis(dimethylamino)- 2a5 ,4a5 -catenadi(phosphazene) (t-Bu-P2 ou P2-t-Bu) ; - les bases azotées telles la l,8-diazabicyclo[5.4.0]undec-7-ene (DBU), la 2,8,9-trimethyl-2,5,8,9-tetraaza-1 -phosphabicyclo[3.3.3]undecane (TMP) and 2,8,9-trüsobutyl-2,5,8,9- tetraaza-l-phosphabicyclo[3.3.3]undecane (TiBP) ; et - les phosphines telles que tri-(Ci-C6)alkylphosphine, triarylphosphine, ou les tricycloalkylphosphine notamment la tri-n-butylphosphine (Bu3P), tricyclohexylphosphine (Cy3P), triphenylphosphine (Ph3P), and tris(2,4,6-trimethoxyphenyl)phosphine (TTMPP) ; - Lewis acids derived from boron and sulfur such as tris-(pentafluorophenyl)borane, triethylsilyl trifluoromethane sulfonate, or a combination of these two catalysts, N-(triethylsilyl)-bis-(trifluoromethane sulfonyl)imide, triphenylmethyl tetrakis(pentafluorophenyl)borate (TTPB), trifluoromethane sulfonimide, 2,3,4,5,6-pentafluorophenyl-1,1-bis(trifluoromethanesulfonyl)methane; and - quaternary ammonium compounds, in particular tetra(Ci-C6)alkylammonium halides such as tetran-butylammonium fluoride, tetran-butylammonium 3-chlorobenzoate cyanide, tetran-butylammonium benzoate, tetran-butylammonium bisbenzoate, tetran-butylammonium 3-chlorobenzoate, and tetran-butylammonium bis3-chlorobenzoate.

[0329] It is preferable to use phosphazenes such as 4a5-catenadi(phosphazene) or t-Bu-P4, also known as P4-t-Bu, with the following formula:

[0330] [Chem. 30] EHS

[0331]

[0332]

[0333]

[0334]

[0335]

[0336]

[0337]

[0338]

[0339] t-Bu-P4. According to a particular embodiment of the invention, the process uses one or more initiators which are derivatives of silylated acetal ketene (ACS) of general structure (a) as well as its geometric isomers E / Z: [Chem.31] Formula (a) in which: - Pi and P4, whether identical or different, represent a (Ci-C4)alkyl group such as methyl; - P2 and P3, identical or different, represent a hydrogen atom, a (Ci-Ci2)alkyl group, or a (C2-Ci2)alkenyl group, preferably represent a (CrC4)alkyl group such as methyl. The preferred ACS (a) used in the process of the invention are represented below by (ACS1) and (ACS2): [Chem. 32] (ACS1),RN 31469-15-5

[0340] [Chem.33] ch3

[0341] (ACS2) RN = 73311-50-9

[0342] According to another embodiment, the initiators have the following formula (b), as well as its geometric isomers Z / E:

[0343] [Chem.34] (b)

[0344] Formula (b) in which: Pi, P3, P4 and n are as defined previously and - Core represents a hydrocarbon group, acyclic saturated or unsaturated, linear or branched, or cyclic saturated or unsaturated, aromatic or non-aromatic, comprising from 2 to 40 carbon atoms, particularly 3 to 36 carbon atoms, said hydrocarbon group being able to a) be interrupted by one or more heteroatoms or groups selected from oxygen, sulfur, nitrogen, silicon or -[O-Si(Rb)(Rc)]P- atoms, with Rb, Rc being as defined above, p between 1 and 200, carbonyl -C(O)-, or their associations such as ester -C(O)-O-, -OC(O)-, amide -C(O)-N(R')-, -N(R')-C(O)-, urethane -N(R')-C(O)-O- or -OC(O)-N(R')-, urea -N(R')-(CO)-N(R')-, or carbonate -OC(O)-O-, in which R' represents a hydrogen atom, an alkyl group having from 1 to 4 carbon atoms.Preferably n is 2 and / or Core represents a hydrocarbon group, acyclic saturated or unsaturated, linear or branched, or cyclic saturated or unsaturated, comprising from 2 to 10 carbon atoms, particularly 3 to 8 carbon atoms, .

[0345] More specifically, the formula initiators (b) are chosen from those of formula (bl) to (b4) as well as their geometric isomers Z / E.

[0346] [Tables 10] RN 56920-00-4 (b4) RN 124389-21-5

[0347] According to one embodiment of the process of the invention, the first step i) is carried out in one or more aprotic solvent(s), particularly if the polymerization (or polycondensation) of route i) is carried out by group transfer (GTP) as defined previously, the solvent(s) is / are chosen from: - polar aprotic solvents, in particular halogen(C1-C6)alkanes such as dichloromethane, heterocycles such as tetrahydrofuran, (C1-C4)alkylnitriles such as acetonitrile, C1-C12 alkanool and C1-C12 carboxylic acid esters such as ethyl acetate, butyl acetate, isopropyl myristate, isononyl isononate, and - nonpolar aprotic solvents, in particular aromatics such as toluene, xylene, anisole, and linear or branched C8 to C2o alkanes such as isododecane, or paream.

[0348] More preferably the solvent(s) used in route i) is chosen from among the esters mentioned above, the cyclic nonpolar aprotic solvents preferably aromatic such as toluene, or non-cyclic such as isododecane or paream, the cyclic polar aprotic solvents such as tetrahydrofuran, or acyclic such as (di)glyme.

[0349] In particular, polymerization is carried out at a temperature between -80 °C and + 100 °C, preferably from 0 °C to 100 °C and more preferably from 0 °C to 50 °C.

[0350] To complete the polymerization, one or more nucleophilic compounds or polar protic solvents such as water, saturated or unsaturated cyclic or non-cyclic carboxylic acids, preferably aromatic, or alcohols and polyols, particularly (Ci-C6) alkanols, may be used. Methanol, ethanol, or benzoic acid are preferred.

[0351] Other electrophilic mono- or multi-functional termination agents inducing the formation of one or more chemical functions at the end of the chain may be used, in particular, aldehydes, halogenated compounds (fluorinated, chlorinated, brominated, iodinated) cyclic or non-cyclic, saturated or unsaturated, aromatic or non-aromatic.

[0352] Initiators, catalysts, solvents, temperature range are described for example for GTP type polymerization in the following references: F. Bandermann et al. Macromolecules, 1989, 190, 9, 2183-219; T. Kakuchi et al. Polymer Chemistry 2013, 4, 4278-4291, and US patent application US 20230174071.

[0353] According to a particular embodiment of the invention, the copolymer(s) a2) comprising several different repeating units chosen from the units (A) as defined above are of the diblock type. Preferably, the diblock copolymer(s) a2) is / are prepared by polymerization using a first monomer and one or more monofunctional initiator(s) and in particular of formula (a). then once this monomer is "consumed", a second monomer different from the first is added.

[0354] According to one embodiment, the copolymer(s) a2) comprising several repeating units chosen from the units (A) as defined above is / are of triblock or multiblock type, the starters of Formula (a) or (b) can be used and the different monomers of interest added sequentially.

[0355] Preferably in the process of the invention the molar ratio Initiator / catalyst between 10000 and 1, more preferably between 1000 and 5 and even more preferably between 100 and 10.

[0356] The said polymer(s) (C) can then be partially or totally epoxidized according to route ii), in a particularly organic solvent, preferably aprotic, at a temperature less than or equal to 120 °C, to give rise to the epoxidized polymer(s) (D) according to the following scheme (2):

[0357] [Chem.35]

[0358] Scheme 3 in which the polymers (C) and (D) contain radicals R i and R 4 which are as defined previously.

[0359] Epoxidation pathways on unsaturated organic compounds are known to those skilled in the art and can be carried out using oxidizing agent(s) and / or catalyst(s) (see, for example: Mohammed, ML; Saha, B. Recent Advances in Greener and Energy Efficient Alkene Epoxidation Processes. Energies 2022, 15, 2858.; Babot ED, Aranda C, Kiebist J, Scheibner K, Ullrich R, Hofrichter M, Martinez AT, Gutiérrez A. Enzymatic Epoxidation of Long-Chain Terminal Alkenes by Fungal Peroxygenases. Antioxidants (Basel). 2022 Mar 8;11(3):522. doi: 10.3390 / antioxl 1030522).

[0360] Among the oxidizing agent(s) of particular interest for carrying out epoxidation, we can mention dioxygen O2, peroxides such as H2O2, peracids in particular aromatic ones such as (halo)perbenzoic acids such as m-chloroperbenzoic acid, organic, organometallic or enzymatic catalysts such as derivatives of Titanium, Manganese, Aluminium.

[0361] Among the enzymes relevant for carrying out the epoxidation of unsaturates, mention may be made of lipases which transform acids into peracids which epoxidize unsaturations, but also peroxygenases, nonheme monooxygenases, halogenoperoxidases such as chloroperoxidase, cytochrome P450 monooxygenases.

[0362] The said polymer(s) (D) can be hydrolyzed according to route iii) to obtain one or more diol polymer(s) (B) according to the following scheme 4:

[0363] [Chem.36]

[0364] Scheme 4 in which the polymers (B) contain radicals Ri and R4 which are as defined previously, it being understood that (B) can be in cyclic (Bl) and bicyclic (B'1) form if Ri represents a -C(O)-OR'4 group.

[0365] The methods of hydrolysis of epoxides are known to those skilled in the art (for example, for a description of the conditions for hydrolysis of epoxides, see the publications: S. Bonollo; D. Lanari and L. Vaccaro: Ring Opening of Epoxides in Water Eur. J. Org. Chem. 2011, 2587-2598 Bucko, M.; Kaniakovâ, K.; Hronskâ, H.; Gemeiner, P.; Rosenberg, M. Epoxide Hydrolases: Multipotential Biocatalysts. Int. J. Mol. Sci. 2023, 24, 7334.)

[0366] According to one embodiment, the epoxidation step is carried out in water or in a mixture of (a)polar (a)protic organic solvent(s) and water, the hydrolysis of the epoxide according to route iii) can be carried out concomitantly with route ii) to generate the corresponding vicinal diol of the polymer diol(s) (B).

[0367] According to one embodiment, hydrolysis is carried out in a second step according to route iii) subsequent to route ii) using an alkaline, neutral or acidic medium, preferably an acidic or basic medium, using different types of catalysts such as organic bases (amines such as triethylamine, phosphines such as tributylphosphines, heteronitrogenous bases such as 1,4-diazabicyclo[2.2.2]octane (DABCO)), inorganic bases in particular alkali or alkaline earth metal hydroxides such as NaOH, or KOH, organometallic catalysts derived from Titanium, Aluminium, Zirconium, Bismuth, Scandium, Erbium, Cobalt, [3-cyclodextrin, enzymes such as Epoxide Hydrolases.

[0368] According to another embodiment of the process of the invention, said polymer(s) (C) can be (di)hydroxylated via route iv) to obtain one or more mono- or dihydroxylated polymer(s), preferably dihydroxylated (B) according to the following scheme 5:

[0369] [Chem.37] --fc*

[0370] Scheme 5 in which the polymers (C) are as defined above, and (B) are mono- or dihydroxylated, preferably dihydroxylated as defined above.

[0371] According to one embodiment of the process of the invention, step iv) (di)hydroxylation on the unsaturation is carried out directly on the unsaturations of the polymer (C).

[0372] The (di)hydroxidation methods are known to those skilled in the art (see, for example, T. Achard and S. Bellemin-Laponnaz: Recent advances on catalytic osmium free olefin syn-dihydroxylation 2021, 6, 877-896, C. Santi, R. Di Lorenzo, C. Tidei, L. Bagnoli, T. Wirth Stereoselective Selenium catalyzed dihydroxylation and hydroxymethoxylation of alkenes Tetrahedron 2012, 68, 10530-10535. J. Chen, W. Song, YM Lee, W. Nam, B. Wang: Biologically inspired nonheme iron complex catalyzed cis dihydroxylation of alkenes modeling Rieske dioxygenases Coordination Chemistry reviews 2023, 477, 214945).

[0373] According to one embodiment of the process of the invention, step iv) employs one or more oxidizing agent(s) (particularly under mild conditions) of the periodate type such as alkali or alkaline earth metal periodates of the sodium periodate type, oxone, peroxides, selenium derivatives, but also metallic catalysts such as OsO4, RuO4, other ruthenium complexes such as the RuC13 / NaIO4 association, manganese derivatives such as KMnO4 preferably dilute or other manganese complexes, iron, palladium, silver complexes, these organometallic catalysts being used with different types of oxidants, such as H2O2, O2 or other peroxides.

[0374] Enzymes such as Rieske Dexoygenases can also be used.

[0375] The polymer(s) (C) can be cleaved by oxidative degradation and preferably by ozonolysis, particularly at the double bond according to route v), in a particularly organic solvent, preferably polar, more preferably protic polar such as (CrC4)alkanols, particularly methanol, and particularly carried out at a temperature between 0°C and solvent reflux (preferably at a temperature less than or equal to 120°C), more particularly at a temperature between 5°C and 60°C such as 50°C + / - 5°C, to give rise to the diacid compound(s) or dicarboxylate salt(s) (Dl) according to the following scheme 6:

[0376] [Chem.38] {04}

[0377] Scheme 6 in which Ri and R4 are as defined above, or else Ri and / or R4 represent(s) the following -X-RET pattern:

[0378] [Chem.39] with RET and X as defined previously; preferably Ri represents a -C(O)-OR4 group with R'4 tef as defined previously.

[0379] Polymers (C) can also be degraded according to route v) in a first step by oxidants in particular alkali metal permanganates in particular KMnO4 preferably concentrated and / or by heating in a particularly organic solvent, preferably by heating the medium at a temperature between 50 °C and solvent reflux and at a temperature preferably less than or equal to 120 °C, or by ozonolysis with ozone O3, in a preferably polar solvent, more preferably protic polar such as (CrC4)alkanols such as methanol, and particularly carried out at a temperature between 0 °C and solvent reflux (preferably at a temperature preferably less than or equal to 120 °C), more particularly at a temperature between 5 °C and 60 °C such as 50 °C + / - 5 °C,preferentially with O3 to obtain compounds of formula (Dl) as well as their optical isomers and their salts, particularly of alkali or alkaline earth metals. Following this first oxidation step, a mixture of oligomers and compounds of formula (Dl) can be obtained, and it may be necessary to carry out a second oxidation treatment, particularly in an acidic medium, preferably with one or more inorganic acids, preferably using hydrogen peroxide (H2O2) and an inorganic acid such as sulfuric acid (H2SO4), particularly to improve the yield of obtaining compounds of formula (Dl).

[0380] Preferably, the polymer comprising one or more repeating units selected from units (A) degraded by an oxidative degradation process according to the invention comprises at least one double bond and / or optionally one or more (A3), (A4), or (A6) units. Preferably, each of the (A) units of the polymer comprises a double bond. Even more preferably, the polymer comprising several repeating units selected from the (A) units is such that R2 and R3 form a bond and optionally one or more (A1) units to (A15), in particular one or more (A3), (A4), or (A6) units. In particular, the polymer comprising several repeating units selected from the (A) units has the formula (C) as defined above and optionally one or more (A3), (A4), or (A6) units. Thus, the polymers used in a process according to the invention are particularly advantageous in that they can be easily degraded, for example, at the end of their use.

[0381] Another object of the present invention is therefore a process for degrading a polymer comprising several repeating units chosen from the units (A) and possibly one or more units (Al) to (A 15) in particular one or more units (A3), (A4) or (A6), as well as their optical, geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates.

[0382] The degradation process according to the invention can be implemented by any suitable technique, and advantageously allows obtaining monomers, oligomers and / or derivatives thereof.

[0383] In one embodiment, the degradation process is carried out by oxidative degradation, for example by contact with a dichromate or an alkali metal manganate, such as potassium permanganate, or by ozonolysis, preferably by ozonolysis.

[0384] At each of the steps of the process according to the invention, the total or partial hydrolysis of the ester group(s) -C(O)-OR4, -C(O)-OR'4, can be carried out using strong base(s), or strong organic or inorganic acid(s) to lead to -C(O)-O M+ groups with M+ as defined above.

[0385] The hydrolysis of the ester groups within the homopolymers a1) and copolymers a2) can be partial or total depending on the synthesis conditions and generate a copolymer a2') containing repeating units of formula (A) in which -C(O)-OR4, -C(O)-OR'4, correspond to ester groups, statistically distributed with repeating units of formula (A) in which -0(0)-01^, -C(O)-OR'4, correspond to carboxy or carboxylate groups -C(0)-0 M+ with M+ as defined above.

[0386] The crosslinked polymers of the invention (i.e., comprising at least one unit selected from the units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and (A15) defined above) are obtained by reaction of less one polymer al) and / or a2) as defined above with at least one crosslinker as defined above.

[0387] The copolymers a2) can be statistical polymers, sequenced in particular in blocks or gradient.

[0388] Another object of the invention is a polymer that can be obtained, in particular obtained, by a preparation process according to the invention.

[0389] The composition

[0390] The composition of the invention is preferably cosmetic and comprises:

[0391] a) one or more homopolymer(s) a1) and / or copolymer(s) b2) comprising several repeating units selected from the units (A) as defined above; and optionally ii) at least one unit selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (A11), (A12), (A13), (A14) and (A15) defined above or mixtures thereof, and in particular polymers 1), 2), 3), 4), 5), and mixtures thereof, as defined above; and optionally; and optionally

[0392] b) one or more crosslinking agent(s) as defined above.

[0393] Preferably the composition further comprises b) one or more crosslinking agent(s) as defined above.

[0394] More specifically, the composition of the invention comprises:

[0395] Bl) one or more block copolymer(s) 1) comprising units (A) in which Ri represents a (Ci-C4)alkyl group such as methyl, and R2 and R3 together form a bond, and R4 is as defined above; and / or

[0396] B2) one or more homopolymer(s) 2) comprising units (A) for which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a bond, and R4 and R'4, preferably identical, represent a linear or branched (C4-C8)alkyl group such as t-butyl or n-octyl; and / or

[0397] B3) one or more statistical copolymer(s) 3) comprising units (A) for in which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a bond and Ri and R'4 are preferably identical, are different from a hydrogen atom, preferably represent iii) as defined above; and / or

[0398] B4) one or more homopolymer(s) or copolymer(s) 4) comprising units (A) for which Ri represents a -C(O)-OR'4 group, and R2 and R3 together form a saturated or unsaturated heterocycle, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 members, preferably 3 members, such that epoxy and Ri and R'4, preferably identical, are as defined above; and / or

[0399] B5) one or more homopolymer(s) or copolymer(s) 5) comprising units (A) for which R2 and R3, identical or different, represent an atom of hydrogen or a hydroxy group, it being understood that R2 and R3 cannot simultaneously represent a hydrogen atom, preferably R2 and R3 represent a hydroxy group.

[0400] The homopolymer(s) and / or copolymer(s) comprising units (A) as defined above preferably represent between 0.01% and 30%; preferably between 0.1% and 20%, more preferably between 0.2% and 10% by weight of the total weight of the composition.

[0401] The composition according to the invention, after application to keratinous materials, results in film-forming deposits that are glossy and resistant to oils at room temperature (25°C), making them particularly suitable for makeup and / or hair care applications. The polymers of the invention also prove to be very good thickeners, especially the cross-linked polymers.

[0402] The cosmetic active ingredient(s)

[0403] According to a particular embodiment of the invention, the composition CP of the invention, the use and the process implement or comprise one or more compounds selected from c) fats, preferably liquid at 25 °C and atmospheric pressure, d) colorants, e) pigments, f) one or more active ingredients for the care of keratinous materials, in particular of the skin, g) UV filters (A) and / or (B), or h) mixtures thereof (c) to (g).

[0404] e) The pigments

[0405] According to a preferred embodiment of the present invention, the CP composition of the invention, the use and the method implement e) at least one ) pigment.

[0406] The pigment(s) represent more particularly from 0.5% to 40% by weight of the total weight of the composition, and preferably from 1% to 20% by weight.

[0407] The pigment(s) are solid particles, white or colored, naturally insoluble in the hydrophilic and lipophilic liquid phases commonly used in cosmetics or rendered insoluble by formulation in the form of a lacquer, where appropriate. More specifically, the pigments are slightly or not at all soluble in hydroalcoholic media.

[0408] The pigment(s) that may be used shall be chosen in particular from among the organic and / or mineral pigments known in the art, in particular those described in Kirk-Othmer's Encyclopedia of Chemical Technology and in Ullmann's Encyclopedia of Industrial Chemistry. Examples of pigments include organic and inorganic pigments such as those defined and described in Ullmann's Encyclopedia of Industrial Chemistry, "Pigment organics", 2005 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim and ibid, "Pigments, Inorganic, 1. General", 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. 1002 / 1435600 7.a20_243.pub3

[0409] These pigments may be in powder or paste form. They may be coated or uncoated. The pigments may, for example, be chosen from mineral pigments, organic pigments, lacquers, special effect pigments such as mother-of-pearl or glitter, and mixtures thereof.

[0410] The pigment(s) may be mineral pigments.

[0411] By "mineral pigment" is meant any pigment which meets the definition in the Ullmann encyclopedia in the chapter on inorganic pigment.

[0412] Among the mineral pigments useful in the present invention, we can mention iron or chromium oxides, manganese violet, ultramarine blue, chromium hydrate, ferric blue and titanium oxide.

[0413] The pigment(s) may be organic pigments.

[0414] By "organic pigment" we mean any pigment that meets the definition in the Ullmann encyclopedia in the chapter on organic pigment.

[0415] The organic pigment(s) are in particular selected from the compounds nitroso, nitro, azo, xanthene, quinoline, anthraquinone, phthalocyanine, of the metal complex type, isoindolinone, isoindoline, quinacridone, perinone, perylene, diketopyrrolopyrrole, thioindigo, dioxazine, triphenylmethane, quinophthalone.

[0416] In particular, the white or colored organic pigments are selected from carmine, carbon black, aniline black, azo yellow, quinacridone, phthalocyanine blue, the blue pigments coded in the Color Index under references Cl 42090, 69800, 69825, 74100, 74160, the yellow pigments coded in the Color Index under references Cl 11680, 11710, 19140, 20040, 21100, 21108, 47000, 47005, the green pigments coded in the Color Index under references Cl 61565, 61570, 74260, the orange pigments coded in the Color Index under reference CI 11725, 45370, 71105, the red pigments coded in the Color Index under the references CI 12085, 12120, 12370, 12420, 12490, 14700, 15525, 15580, 15620, 15630, 15800, 15850, 15865, 15880, 26100, 45380, 45410, 58000, 73360, 73915, 75470, the pigments obtained by oxidative polymerization of indole, phenolic derivatives as described in patent FR 2 679 771.

[0417] By way of example, we can also cite organic pigment pastes such as the products sold by the company HOECHST under the name: COSMENYL YELLOW IOG: Pigment YELLOW 3 (Cl 11710); COSMENYL YELLOW G: Pigment YELLOW 1 (Cl 11680); COSMENYL ORANGE GR: Pigment ORANGE 43 (Cl 71105); COSMENYL RED R: Pigment RED 4 (Cl 12085); COSMENYL CARMINE FB: Pigment RED 5 (Cl 12490); COSMENYL VIOLET RL: Pigment VIOLET 23 (Cl 51319); COSMENYL BLUE A2R: Pigment BLUE 15.1 (Cl 74160); COSMENYL GREEN GG: Pigment GREEN 7 (Cl 74260); COSMENYL BLACK R: Pigment BLACK 7 (Cl 77266).

[0418] The pigments according to the invention can also be in the form of composite pigments as described in patent EP 1 184 426. These composite pigments can be composed in particular of particles comprising an inorganic core, at least one binder ensuring the fixation of organic pigments on the core, and at least one organic pigment covering at least partially the core.

[0419] The organic pigment can also be a lake. By lake, we mean colorants adsorbed onto insoluble particles, the whole thus obtained remaining insoluble during use.

[0420] The inorganic substrates on which the dyes are adsorbed are, for example, alumina, silica, calcium sodium borosilicate or calcium aluminium borosilicate, and aluminium.

[0421] Among the colorants, we can mention carminic acid. We can also mention the colorants known under the following names: D & C Red 21 (CI 45 380), D & C Orange 5 (CI 45 370), D & C Red 27 (CI 45 410), D & C Orange 10 (CI 45 425), D & C Red 3 (CI 45 430), D & C Red 4 (CI 15 510), D & C Red 33 (CI 17 200), D & C Yellow 5 (CI 19 140), D & C Yellow 6 (CI 15 985), D & C Green (CI 61 570), D & C Yellow 1 O (CI 77 002), D & C Green 3 (CI 42 053), D & C Blue 1 (CI 42 090).

[0422] As examples of lacquers, we can cite the product known under the following name: D & C Red 7 (CI 15 850 :1).

[0423] Pigments can also be special effect pigments.

[0424] By "special effect pigments" is meant pigments which generally create a colored appearance (characterized by a certain shade, vibrancy and clarity) that is non-uniform and changes depending on the viewing conditions (light, temperature, viewing angles, etc.). They are thus distinguished from "colored pigments" which provide a uniform opaque, semi-transparent or conventional transparent tint.

[0425] Other examples include non-substrate interference pigments such as liquid crystals (Wacker's Helicones HC) and interference holographic glitter (Spectratek's Geometry Pigments or Spectra f / x). Special effect pigments also include fluorescent pigments, whether daylight fluorescent or ultraviolet fluorescent, phosphorescent pigments, photochromic pigments, thermochromic pigments, and quantum dots, marketed, for example, by Quantum Dots Corporation.

[0426] The variety of pigments that can be used in the present invention makes it possible to obtain a rich palette of colors, as well as particular optical effects such as metallic, interference effects.

[0427] The size of the pigment used according to the present invention is generally between 10 nm and 200 pm, preferably between 20 nm and 80 pm, and more preferably between 30 nm and 50 pm.

[0428] The pigments can be dispersed within the composition by means of a dispersing agent.

[0429] The dispersing agent serves to protect the dispersed particles from agglomeration or flocculation. This dispersing agent may be a surfactant, an oligomer, a polymer, or a mixture of several of these, possessing one or more functionalities with a strong affinity for the surface of the particles to be dispersed. In particular, they may adhere physically or chemically to the surface of the pigments.

[0430] Preferably, the pigment(s) is / are chosen from mineral, mixed mineral-organic or organic pigments.

[0431] The composition may include one or more f) colorant(s), in particular one or more direct colorant(s).

[0432] By "direct dye" is meant natural and / or synthetic dyes, different from oxidation dyes. These are dyes that will diffuse superficially onto the fiber.

[0433] They can be ionic or non-ionic, preferably cationic or non-ionic.

[0434] d) dyes

[0435] According to one embodiment of the present invention, the CP composition of the invention, the use and the method implement d) at least one colorant.

[0436] According to a particular embodiment, the colorant(s) are direct colorants, natural or synthetic.

[0437] Examples of suitable direct dyes that may be mentioned include azo direct dyes; (poly)methine dyes such as cyanines, hemicyanines and styryls; carbonyl dyes; azine dyes; nitro(hetero)aryl dyes; tri(hetero)arylmethane dyes; porphyrin dyes; phthalocyanine dyes and natural direct dyes, alone or in mixtures; more preferably red iron oxides, in particular iron oxide 3.

[0438] According to one embodiment of the invention, the composition is anhydrous, i.e., it comprises a quantity of water less than or equal to 5% by weight, preferably less than or equal to 3%, more preferably less than or equal to 1%, better less than or equal to 0.5% by weight, relative to the total weight of the composition. More particularly, the composition is free of water.

[0439] According to another particular embodiment of the invention, the composition comprises water (v), preferably in an amount greater than 5% by weight relative to the total weight of the composition, particularly the amount of water in the composition is greater than 10% by weight relative to the total weight of the composition, more specifically greater than 20% by weight, compared to the total weight of the composition.

[0440] The composition according to the invention may further contain adjuvants commonly used in the cosmetics industry, such as preservatives, pearlescent pigments, antioxidants, thickening agents such as polymers other than those in (a), and surfactants. The composition of the invention can be formulated as a spray, serum, more or less thickened solutions, or oil-in-water or water-in-oil emulsions.

[0441] According to one embodiment of the invention, the CP composition, or the use, or the process for treating keratinous materials employs one or more alkali agent(s) (or base(s)). The mineral (or inorganic) alkali agent(s) or mineral (or inorganic) base(s) are preferably chosen from ammonia, alkali carbonates or bicarbonates such as sodium or potassium carbonates and sodium or potassium bicarbonates, alkali or alkaline earth metal hydroxides such as sodium or potassium hydroxides, or mixtures thereof.

[0442] The process for treating keratinous materials:

[0443] According to one embodiment, the process carries out at least one application step on keratinous materials, in particular human, in particular a) on human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) on human skin a) one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) for the treatment of keratinous materials, in particular human, said homopolymer(s) a1) and / or copolymer(s) a2) comprise several repeating units selected from units (A) and optionally ii) at least one unit selected from units (A1) to (A15) as defined above or mixtures thereof, and optionally b) in the presence of one or more crosslinking agent(s) as defined above.

[0444] In particular, the process involves at least one application step on human keratinous materials, in particular a) on human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) on human skin, of a cosmetic composition, and comprises:

[0445] a) one or more homopolymer(s) al) and / or copolymer(s) b2) comprising i) several repeating units selected from the units (A) as defined above, and optionally ii) at least one unit selected from the units (Al) to (A15) as defined above and their mixtures and in particular polymers 1), 2), 3), 4), 5) and their mixtures; and optionally b) one or more crosslinking agent(s) as defined above.

[0446] According to one embodiment, the process carries out at least one application step on human keratinous materials, in particular a) on human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) on human skin a) of one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) for the treatment of keratinous materials in particular human, the said homopolymer(s) a1) and / or copolymer(s) a2) comprising several repeating units selected from the units (A) as defined above and optionally ii) at least one unit selected from the units (A1), to (A15) as defined above and mixtures thereof, b) in the presence of one or more crosslinking agent(s) as defined above.

[0447] According to one embodiment, the process involves at least one application step on human keratinous materials, in particular a) on human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) on human skin a) of one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) for the treatment of human keratinous materials, said homopolymer(s) a1) and / or copolymer(s) a2) comprising several repeating units selected from the units (A) as defined above and optionally ii) at least one unit selected from the units (A1) to (A15) as defined above and mixtures thereof, said process not involving b) crosslinking agent.

[0448] According to a preferred embodiment, the process involves at least one application step on human keratinous materials, in particular a) on human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) on human skin a) of one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) for the treatment of human keratinous materials, said homopolymer(s) a1) and / or copolymer(s) a2) comprising several repeating units selected from the units (A) as defined above and ii) at least one unit selected from the units (A1), to (A15) as defined above and mixtures thereof, said process optionally employing b) at least one crosslinking agent, preferably not employing b) crosslinking agent.

[0449] In particular, the process involves at least one application step on human keratinous materials, in particular a) on human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) on human skin, of a cosmetic composition comprising: a) one or more homopolymer(s) a1) and / or copolymer(s) b2) comprising i) several repeating units selected from the units (A) as defined above, and optionally ii) at least one unit selected from the units (A1), to (A15) as defined above and mixtures thereof, and in particular polymers 1), 2), 3), 4), 5), and mixtures thereof, such as defined previously; and b) one or more crosslinking agent(s) as defined previously.

[0450] According to another embodiment, the process involves at least two steps: a first step involving the application to keratinous materials, particularly human materials, specifically a) to human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) to human skin, a) of one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) for the treatment, said homopolymer(s) a1) and / or copolymer(s) a2) comprising several repeating units selected from the units (A) as defined above and optionally ii) at least one unit selected from the units (A1), to (A15) as defined above and mixtures thereof, then - a second step implementing one or more crosslinker(s) b) as defined above or at least a composition containing the crosslinker(s).

[0451] Rheological consistency

[0452] The consistency of the gel is evaluated using a standard oscillatory rheology study protocol. The consistency G* (in Pa) and the loss angle θ (in °) can be measured by applying the following protocol:

[0453] The apparatus used is the ANTON PAAR MCR302 rheometer, with a 25 mm / 2° sandblasted cone-plane measuring body. The exemplified composition is in water, in the presence of a preservative.

[0454] Viscoelastic behavior is measured at 25 °C.

[0455] The waiting time configured on the device is 120 s before the measurement for balancing.

[0456] A logarithmic stress sweep at 1 Hz from 0.1 to 1000 Pa is performed, with 21 points measured. The measurement is duplicated. The average values ​​of G* and θ are taken in the linear viscoelastic domain (dvel), which is defined as the region where the values ​​of G* and θ vary little as a function of shear stress and form a plateau on the representation as a function of this shear stress (variation less than ± 10%).

[0457] The gels of interest have a loss angle θ <50° and a G*>500mPa, preferably θ <30° and a G*>100Pa and even more preferably θ <10° and a G*>500Pa.

[0458] Crosslinking protocol:

[0459] In a typical chemical crosslinking procedure, the starting polymer is diluted in distilled water in a flask containing a magnetic stirrer. The mixture is homogenized for 5 minutes. Finally, the crosslinking agent, either pure or diluted in water or A water-soluble solvent is added to the previous polymer solution. The resulting mixture is then placed under study at 150°C for 1 hour. The crosslinked polymer thus obtained is diluted with water to reach a concentration of 1% by mass, and the rheological behavior of this mixture is then measured as described previously.

[0460] The molar % of crosslinker relative to the reactive functions of the polymer is preferably greater than 1%, more preferably greater than 5% and even more preferably greater than 10%.

[0461] The invention is illustrated in more detail in the following examples. EXAMPLES Rheology measurement protocol:

[0462] The rheometer used is the Anton Paar MCR 302 rheometer. The cone / sandblasted plane geometry 25 mm / 2° (gap 104 pm) was used at an analysis temperature of 25 °C.

[0463] The shear stress sweep analysis is performed as follows: - Waiting time of 2 minutes - Shear stress sweep from 0.1 Pa to 1000 Pa, f = 1 Hz (no stationary mode).

[0464] This analysis makes it possible to determine the viscoelastic modulus (G*) and the loss factor (<5) of the linear viscoelastic domain (LVED).

[0465]

[0466] All percentages of reactants described in the examples are weight percentages. 1) Synthesis of ACS Primer 2:

[0467] The 3-step synthesis is adapted from the reference Hertler, WR; Reddy, G. S.; Sogah, DY Anion-Catalyzed Reactions of Silyl Ester Polyenolates with Electrophiles. J.Org. Chem. 1988, 53 (15), 3532-3539. https: / / doi.org / 10.1021 / jo00250a022.

[0468] [Chem.40] o socL 9 DBF, rt to 78^0 IF ..............EM.......... _ Psntàne, C *C to rt S2 1) LDA £1.5M] THF. -84 “C, 30 mins 2J TMCS, -84-C to rt OSiMe-, ACS2

[0469] Scheme in which: rt to 75 °C means that the reaction is at room temperature (20-30 °C) then heated to 75 °C, 0 °C (or -84 °C) to rt or means that the reaction is at 0°C (or -84 °C) then is allowed to heat to room temperature (20-30 °C).

[0470] But-2-enoyl chloride SI:

[0471] In a 100 mL round-bottom flask equipped with a magnetic stirrer, 10 g (116 mmol, 1 eq.) of crotonic acid is added, and an inert gas (Ar) vacuum is created. 20.7 g (12.6 mL, 174 mmol, 1.5 eq.) of thionyl chloride is then added dropwise using a magnetic stirrer, along with a few drops of DMF. The mixture is then heated to 75 °C and stirred for 1 h. The orange solution is allowed to cool to room temperature, followed by evaporation under vacuum. But2-enoyl chloride (Si) is then used directly for the second synthesis step.

[0472] Synthesis of Ethyl but-2-enoate (S2):

[0473] In a round-bottom flask under an inert atmosphere and fitted with a magnetic stir bar, 10.2 mL of dry ethanol (8 g, 174 mmol, 1.5 eq.), 80 mL of dry pentane, and 16.2 mL of triethylamine (11.74 g, 116 mmol, 1 eq.) are added. This mixture is placed in an ice bath at 0 °C. The previously obtained but-2-enoyl(SI) chloride (116 mmol, 1 eq.) is then added dropwise. The reaction mixture is allowed to cool to room temperature, and a white precipitate appears. The mixture is stirred for 3 h before the addition of 10 mL of a saturated NaHCO3 solution, followed by 50 mL of deionized water. The reaction mixture is then transferred to a separatory funnel. The organic phase is extracted from the aqueous phase by washing with 3 times 30 ml of diethyl ether. The organic phases are then combined and washed with a saturated NaCl solution.The resulting organic phase is then dried over magnesium sulfate before the volatile solvents are distilled using a rotary evaporator. The product is purified by distillation and stored on a dried 4 Å molecular sieve. The structure is confirmed by spectroscopic methods with a yield greater than 40%.

[0474] Synthesis of l-Ethoxy-l-(Trimethylsiloxy)-l,3-butadiene (ACS2):

[0475] In a 100 mL Schlenk flask under an inert atmosphere (Ar), 16.5 mL of a 1.5 M lithium diisopropyl amine (LDA) solution are added in solution to a ternary solvent mixture of THF / heptane / ethylbenzene (24.08 mmol, 1.4 eq.) and 20 mL of anhydrous THF. The mixture is cooled to a temperature below -80 °C. 2 g (2 mL, 17.2 mmol, 1 eq.) of ethyl but-2E-enoate (S2) are then slowly added. After 30 minutes, 3.5 mL (27.5 mmol, 1.6 eq.) of chlorotrimethyl silane are added. The reaction mixture is allowed to return to room temperature, and a white precipitate forms. After 20 minutes, the reaction mixture is filtered under an inert atmosphere. The filtrate is then evaporated under vacuum, then hexane is added and the mixture is refiltered.

[0476]

[0477]

[0478]

[0479]

[0480]

[0481] The filtrate is evaporated under vacuum, and the product is then purified by cryodistillation under vacuum. The resulting final product is analyzed by spectroscopic methods (67% cis and 33% trans). Yield greater than 60%. 2) Synthesis of dialkyl muconates: [Chem.41] n For diethyl muconate (DEM), dilsopropyl muconate (DIM), and dioctyl muconate (DOM), the following general protocol was used. The corresponding alcohols were used as solvents to form the different diesters: respectively, ethanol, isopropanol, and 1-octanol. Chlorotrimethylsilane (18.3 mL, 144 mmol, 4 eq) is added to a solution of trans,trans-muconic acid (5.12 g, 36 mmol, 1 zq) in the corresponding alcohol (150 mL excess) in a 250 mL two-necked flask. The reaction mixture is then heated to 80 °C for ethanol, 90 °C for isopropanol, or 100 °C for 1-octanol for 3 h. The reaction is monitored by spectroscopy or spectrometry. Once the reaction is complete, the reaction mixture is allowed to cool to room temperature. The same purification method is used for all three diesters: once the reaction mixture has returned to room temperature, a saturated solution of NaHCO3 (70 mL) is added and the mixture is stirred for 10 minutes. The mixture is then transferred to a separatory funnel, to which 70 mL of diethyl ether is added. The organic phase is subsequently washed with a saturated solution of NaCl (70 mL), dried over magnesium sulfate, and filtered before being evaporated under reduced pressure. The resulting solid is then recrystallized from methanol before being dried by azeotropic evaporation with toluene in a Schlenk dryer. The muconic acid diesters are then stored under an inert atmosphere (Ar). Yield (greater than 90%). For di-tButyl Muconate (DtBuM), the synthesis is different: [Chem. 42] $ SOŒ 9 U > 'W «E rt fe 75 10 mm y ' Cl has 1HF. 0 'C to rL 1 h THE ü aC54 h

[0482] Scheme in which: rt to 75 °C means that the reaction is at room temperature (20-30 °C) then heated to 75 °C, 0 °C to rt means that the reaction is at 0 °C then is allowed to heat to room temperature (20-30 °C).

[0483] Synthesis of 2,4-hexanedienedioyl (S3) chloride:

[0484] In a 100 mL round-bottom flask, 4 g (28 mmol, l eq.) of trans,trans muconic acid are introduced under argon before 6 mL (9.84 g, 83 mmol, 3 eq.) of thionyl chloride are added dropwise. After the thionyl chloride has been completely introduced, 3 drops of DMF are added. The reaction mixture is then heated to 75 °C until the evolution of gases ceases. The pale orange solution is allowed to cool to room temperature, and the excess thionyl chloride is evaporated under vacuum. The resulting 2,4-hexadienedioyl (S3) chloride is used directly in the next step of the reaction.

[0485] In a 250 mL round-bottom flask equipped with a magnetic stirrer, 4.16 g (5.34 mL, 56 mmol, 2 eq) of t-butyl alcohol and 30 mL of dry THF are introduced. The mixture is cooled in an ice bath, and then 22.4 mL of a 2.5 M n-butyl lithium solution in hexane is slowly added (56 mmol, 2 eq). Once the addition is complete, the ice bath is removed to allow the reaction mixture to return to room temperature. After 1 h at this temperature, the mixture is again cooled in an ice bath, and then 2,4-hexadienedioyl chloride (S3, 5.04 g, 28 mmol, 1 eq), previously dissolved in 25 mL of dry THF, is added to the lithium t-butyl. A brown color appears during the addition. The reaction mixture is left under stirring for 1 hour at room temperature, then the reaction is stopped by adding 20 ml of deionized water.

[0486] The reaction mixture is then introduced into a separatory funnel to which 70 mL of diethyl ether is added. The organic phase is set aside, and the aqueous phase is extracted twice with 30 mL of diethyl ether. The organic phases are combined and washed with 70 mL of a saturated NaCl solution. The resulting organic phase is dried over magnesium sulfate, filtered, and dried with a rotary evaporator. The resulting brown solid is recrystallized 10 times in acetone and once in toluene. The di-tButylMuconate crystals thus obtained are introduced into a Schlenk apparatus with 5 mL of toluene, followed by toluene azeotropic distillations to obtain a water-free monomer. Yield >65%.

[0487] 3) Synthesis of homopolymers of Ethyl polyMuconates (PDEM), of Isopropyl polyMuconate (PDIM), n-Octyl polyMuconate (PDOM), t-Butyl polyMuconate (PDtBuM):

[0488] All polymerizations are carried out under anhydrous conditions. The monomers and solvents are dried, distilled or recrystallized to avoid the presence of any impurities and traces of water.

[0489] The structure of the polymers is confirmed by 1H and C13 NMR and the mass distribution of the polymers is analyzed by size exclusion chromatography (CES) in THF (PMMA calibration).

[0490] Polymerization using ACSL as an initiator:

[0491] In a typical procedure, the polymerizations are carried out in a glove box schlenk at room temperature. For example, for a polyDiethylMuconate with a theoretical degree of polymerization (DPn) of 100, a mixture is prepared in the following molar proportions: [DEM]0 / [ACS1]O / [t-Bu-P4]0 = 100 / 1 / 0.01.

[0492] Thus, 100 µL of a solution of ACS1 in toluene (100 mmol.L⁻¹, 10 pmol), 100 µL of P4-t-Bu in toluene solution (1 mmol.L⁻¹, 0.1 pmol), and 3 mL of dry toluene are introduced into a 10 mL Schlenk flask. The mixture is stirred for 1 minute, and then 1 mL of diethyl muconate (DEM, 1 mol.L⁻¹ in toluene, 1 mmol) is added. After stirring for 6 minutes, the reaction mixture is quenched by adding a few drops of benzoic acid in a 100 mmol.L⁻¹ toluene solution. The progress of the reaction is monitored by ¹H NMR and confirms that the consumption of DEM is complete. The volatile solvents are evaporated, then the polymer is resolubilized in toluene before being precipitated in n-pentane, filtered, and then dried under vacuum. The polymerization yield is >99%.

[0493] The DEM homopolymer thus obtained has Mn: 64,800 g / mol, polydispersity index D: 1.80

[0494] Polymerization using PACS2 as an initiator in toluene:

[0495] The same procedure is used to polymerize each of the monomers. The polymerizations are carried out under an inert atmosphere and at room temperature (25 °C). For example, for PDEM1, 2 mL of a solution of ACS2 in toluene (100 mmol L⁻¹, 200 pmol), 2 mL of P4-t-Bu in toluene solution (1 mmol L⁻¹, 2 pmol), and 10 mL of dry toluene are added to a Schlenk. This mixture is stirred, and then 10 mL of diethyl muconate (DEM) diluted in toluene (1 mol L⁻¹, 10 mmol) are added. The reaction is then stopped after 1 to 20 minutes by adding a few drops of methanol. Analysis by spectroscopy or spectrometry confirms the complete conversion of the monomers.

[0496] The solvents are then evaporated, and the polymer is resolubilized in toluene before being precipitated in n-pentane for PDEM, PDIM and PDtBuM or in methanol in the case of PDOM. The yields obtained are > 95%.

[0497] [Tables II] Polymer Toi. (mL) [ACS2] = 100 mmol.L 1 [P4-t-Bu] = 1 mmol.L 1 [Monomer] = 1 mol.L 1 Mass Volume (mL) Volume (mL) Volume (mL) Mn (g.mo r1) D PDEM1 10 2 2 10 10,000 1.64 PDEM2 3 0.3 0.3 9 90,000 1.56 PDEM3 15 0.5 0.5 15 120,000 1.50 PDEM4 3 0.1 0.1 1 29,400 1.56 PDEM5 3 0.05 0.05 1 66 600 1.72 PDIM1 3 0.1 0.1 1 39900 1.30 PDtBuMl 3 0.1 0.2 2 mL at 0.5 mo 1 / L 54320 1.23 PDOM1 3 0.1 0.1 1 41370 1.56 PDOM2 3 0.1 0.1 2 57700 1.64 PDOM3 3 0.3 0.3 9 99800 1.53

[0498] You: Toluene, Vol = volume

[0499] Polymerization using FACS2 as an initiator in THF:

[0500] The polymerizations were carried out under an inert atmosphere and at room temperature (25 °C). For example, for PDEM4, 100 µl of a solution of ACS2 in THF (100 mmol L⁻¹ 1 pmol), 100 µl of P4-t-Bu in solution in THF (1 mmol L⁻¹*, 0.1 pmol), and 2 ml of dry THF were added to a Schlenk flask. This mixture was stirred, and then 1 ml of diethyl muconate diluted in THF (1 mol L⁻¹*, 1 mmol) was added. After 5 minutes, the reaction was stopped by adding a few drops of methanol. 1H NMR analysis confirmed the complete conversion of the monomers. A similar process is used for the polymerization of DtBuM in THF (to give PDtBuM2).

[0501] [Tables 12] THF polymer (mL) [ACS2] = 100 mmol. L 1 [P4-t-Bu] = 1 mmol. L 1 [Monomer] [DEM] = 1 moLL1 [DtBUM] = 0.5 mol.L 1 Mass Vol. (mL) Vol. (mL) Vol. (mL) Mn (g.mo r1) D PDEM6 2 0.1 0.1 1 44 780 1.34 PDEM7 2 0.1 0.05 1 41 100 1.26 PDEM8 2 0.1 0.02 1 29 100 1.17 PDtBuM2 2 0.1 0.2 2 55,600 1.36 4) Synthesis of statistical copolymers:

[0502] [Chem.43] OSiMeS çoœkoct 2) DEM PÆ Mf; DOM pS COO®-Oct COOfit 9gIu@g^ ft 00 eq) RT, 1 min 3} MeûR

[0503] Scheme in which: RT means that the reaction is at room temperature (20-30 °C).

[0504] The same procedure is used as in the case of the preceding homopolymers starting from ACS2. Polymerization yields are greater than 95%. The PDEMn-stat-PDOMm structures represent statistical copolymers whose theoretical DPn is n for the DEM and m for the DOM. Since monomer consumption is quantitative, this also represents the molar composition of the polymers.

[0505] [Tables 13] Polymer toilet. (m L) [ACS2] = 1 00 mmol.L -i [P4-t-Bu] = 1 mmol.L 1 [Monomer] [DEM] = 1 moLL1 [DOM] = 1 moLL1 [DtBuM] = 0.25 m oLL1 Mass Vol (mL) Vol (mL) Vol. (mL) Mn (g.mo r1) D PDEM so -s tat-PDOM 50 2 0.1 0.1 DEM : 0.5 DOM : 0.5 47700 1.45 PDEM 7o -s tat-PDOM 30 2 0.1 0.1 DEM : 0.7 DOM : 0.3 31300 1.61 PDEM oo _s tat-PDOM 20 2 0.1 0.1 DEM : 0.8 DOM : 0.2 29900 1.60 PDEM 90 -s tat-PDOM 10 2 0.1 0.1 DEM : 0.9 DOM : 0.1 27200 1.59 PDEM 5 -st at-PDOM s 2 0.2 0.2 DEM : 0.1 DOM : 0.1 5500 1.2 PDOM 50 -stat-PDtBu M 50 2 0.1 0.2 DOM : 0.5 DtBuM : 2 51800 1.33 PDOM 10 -stat-PDtBu M 90 2 0.1 0.1 DOM : 0.1 DtBuM : 3.6 40900 1.14 PDOM 5 -s tat-PDtBu M 95 2 0.1 0.1 DOM : 0.05 DtBuM : 3.8 41100 1.21 PDOM 5 -s tat-PDtBu m5 2 0.2 0.2 DOM : 0.1ml DtBuM : 0.4ml 5600 1.35 PDEM 5 -s tat-PDtBu m5 2 0.2 0.2 DEM : 0.1ml DtBuM : 0.4ml 5100 1.18 5) Synthesis of block copolymers#: [Chem. 44]

[0506] cocks coast KHWws :?j sw PM| rfimat ACS2 P eom œt ^&àiwpî$ns5^ t says” l ©SEVEN THINGS ©St èaoEt s àooh-^'^XKæt c 4}DBt1 p {SI 83⁄4 ~t mis Certain CHOW ^OOffixOlSi: UX>Et ¢¢XJf).t^ci, ec&o> <mt

[0507] Scheme in which rt means that the reaction is at room temperature (20-30 °C).

[0508] 5-1) Synthesis of PDEM 50 -b-PDOM 50 diblock

[0509] For the first step the ratio respected is [DEM]o / [ACS2]o / [P4-t-Bu]o=5O / l / O,Ol.

[0510] In a 10 ml Schlenk, 100 μl of ACS2 in solution in toluene (100 mmol L 1; 10 pmol), 100 μl of P4-t-Bu in solution in toluene (1 mmol L 1) are introduced. ; 0.1 pmol) and 3 mL of toluene. The mixture is stirred for 1 minute, then 0.5 mL of DEM diluted in toluene (1 mol L*, 0.5 mmol) is added. This mixture is added for 1 minute: the progress of the reaction is evaluated by spectroscopy or spectrometry. 0.5 mL of DOM diluted in toluene (1 mol L*, 0.5 mmol) is then added. The reaction mixture is stirred, and then the polymerization is stopped by adding methanol. The structure of the polymer thus obtained is confirmed by spectroscopy or spectrometry and CES (serum extrusion chromatography) in THF (PMMA standard).

[0511] [Tables 14] Polymer Toi (mL) [ACS2] = 100 mmo LL1 [P4-t-Bu] = 1 mmol.L 1 [Monomer] [DEM] = 0.5 m 0LL1 [DOM] = 0.5 m 0LL1 Mass Vol (mL) Vol (mL) Vol. (mL) Mn (g.mo r1) D PDEM so - b-PDOM 50 3 0.1 0.1 DEM: 0.5 DOM: 0.5 Block 1: 1 9000 Block 1: 1.42 Diblock: 39600 Diblock: 1.48

[0512] 5-2) Synthesis of PDOM 50 diblock -b-PDtBuM 50

[0513] The dibloc polymer was synthesized using the same process as for the PDEM5o-b-PDOM5o but by polymerizing the DOM to obtain the 1st block then adding the DtBuM for the 2nd block.

[0514] [Tables 15] Polymer Toi (m L) [ACS2] = 100 mmol LL1 [P4-t-Bu] = 1 mmol.L 1 [Monomer] [DOM] = 0.5 mmol LL1 [DtBuM] = 0.5 mol.L 1 Mass Vol (mL) Vol (mL) Vol. (mL) Mn (g.mo r1) D PDOM 50 -b -PDtBuM 50 3 0.1 0.1 DOM: 0.5 DtBuM: 0.5 Block 1: 3 4600 Block 1: 1.42 Dibloc: 53300 Dibloc: 1.52

[0515] 5-3) Synthesis of PDtBuM 50 diblock - b-PDEM 50

[0516] The dibloc polymer was synthesized by using the same process as for PDEM5o-b-PDOM5o but by polymerizing DtBuM to obtain the 1st block and adding DEM to obtain the 2nd block.

[0517] [Tableauxlô] Polymer Toi (m L) [ACS2] = 100 mmo LL1 [P4-t-Bu] = 1 mmol.L 1 [Monomer] [DEM] = 0.5 m 0LL1 [DtBuM] = 0.5 mol.L 1 Mass Vol (mL) Vol (mL) Vol. (mL) Mn (g.mo r1) D PDtBuM 50 -b-PDEM 50 3 0.1 0.1 DOM: 0.5 DEM: 0.5 Block 1: 3 0500 Block 1: 1.15 Diblock: 57500 Diblock: 1.50

[0518] 5-4) Synthesis of a diblock of polyEthylSorbate-b-PolyDiEthylMuconate: PES 50 -b- PDEM 50

[0519] The diblock polymer was synthesized by repeating the same process as for PDEM5o-b-PDOM5o but by polymerizing ethylsorbate to obtain the first block with a ratio [ES]0 / [ACS2]0 / [P4-t-Bu]0 = 50 / 1 / 0.01. DEM is introduced for the 2nd block using the same concentrations and the same volumes of monomers in toluene as in the 1st step.

[0520] [Tables 17] Polymer Toi (m L) [ACS2] = 100 mmo LL1 [P4-t-Bu] = 1 mmol.L 1 [Monomer] [ES] = 0.5 mol. L1 [DEM] = 0.5 m 0LL1 Mass Vol (mL) Vol (mL) Vol. (mL) Mn (g.mo r1) D PES 50 -bP DEM 50 3 0.1 0.1 ES: 0.5 DEM: 0.5 Block 1: 1 3080 Block 1: 1, 29 Dibloc: 30280 Dibloc: 2

[0521] 5-5) Synthesis of triblock PDEM 50 -b-PDOM 50 -b-PDEM 50 J

[0522] The triblock polymer was synthesized by using the same process as for the PDEM5o-b-PDOM5o diblock but using a different ratio: [DEM]o / [ACS2]o / [P4-LBu]o = 50 / 1 / 0.01 for the first step.

[0523] After polymerization of the 2nd block of DOM, 50 equivalents of DEM are added using the same concentrations and the same volumes of monomers in toluene.

[0524] [Tables 18] Polymer Toi (m L) [ACS2] = 100 mmo LL1 [P4-t-Bu] = 1 mmol.L 1 [Monomer] [DOM] = 0.5 m 0LL1 [DEM] = 0.5 m 0LL1 Mass Vol (mL) Vol (mL) Vol. (mL) Mn (g.mo r1) D PDEM so -b- 3 0.1 0.1 DEM : 0.5 Block 1 : 2 Block 1 : 1, PDOM 50 -b DOM : 0.5 2900 64 - PDEM 50 DEM : 0.5 Diblock : Diblock 41 0.70 : Triblock : 510 : 1, 58900 65

[0525] 5-6) Synthesis of PMMA 7S -b-PDEM jQ diblock:

[0526] [Chem.45] T-CiKSSSÎSS Ri. W And $6, Rt îiïàtfi --———---ap SS Mtl

[0527] Scheme in which RT means the reaction is at room temperature (20-30 °C).

[0528] In a typical procedure, 100 pl of a solution of ACSl (100 mmol.L 1 in toluene, 10 pmol), 100 pl of P4-t-Bu in solution (1 mmol.L 1 in toluene, 0.1 pmol) and 3 mL of toluene are introduced into a Schlenc sec of 10 ml.

[0529] The medium is stirred for 1 minute, then 0.25 mL of methyl methacrylate (MMA) (1 mol.L⁻¹ in toluene; 0.25 mmol) is added. After stirring for 1 h at At room temperature, 0.5 ml of diethylmuconate (DEM, 1 mol.L⁻¹ in toluene; 0.5 mmol) is added. The reaction mixture is stirred for 1 minute, then the reaction is stopped by adding a few drops of methanol.

[0530] PMMA25: Mn: 4,600 g / mol, D: 1.14

[0531] PMMA25-Z?-PDEM50: Mn: 87,600 g / mo, D: 1.88

[0532] 5.7 Synthesis of PBA sn -b-PDEM diblock

[0533] [Chem.46] lj Wlt sr ms wj K

[0534] In a typical procedure, 100 µL of an ACSI solution (100 mmol.L⁻¹ in toluene, 10 pmol), 100 µL of P₄-t-Bu solution (1 mmol.L⁻¹ in toluene, 0.1 pmol), and 3 mL of dry toluene were introduced into a 10 mL Schlenk flask. The mixture was stirred for 1 minute, and then 0.25 mL of butyl acrylate (BA) (1 mol.L⁻¹ in toluene; 0.25 mmol) was added. After stirring for 1 h at room temperature, 0.5 mL of diethyl muconate (DEM, 1 mol.L⁻¹ in toluene; 0.5 mmol) was added. The reaction mixture was stirred for 1 minute, and then the reaction was stopped by adding a few drops of methanol.

[0535] PBA50: Mn: 9,200 g / mol, D: 1.85

[0536] PBA50-è-PDEM50: Mn: 26,600 g / mol, D: 3.06

[0537] 5.8 Pentablock Synthesis (PDOM-co-PDtBuM)-b-(PDOM-co-PDtBuM)-b-(PDOM- co-PDtBuM)-b-(PDOM-co-PDtBuM)-b-(PDOM-co-PDtBuM) or (PDOM-co-PDtBuM) s:

[0538] In a 25 mL Schlenk flask, 100 µL of ACS2 in toluene solution (100 mmol L1; 10 pmol), 200 µL of P4-t-Bu in toluene solution (1 mmol L-1; 0.2 pmol), and 3 mL of toluene were introduced. The mixture was stirred for 1 minute, and then a 2.5 mL solution of a mixture of DOM and DtBuM monomers in toluene (DOM: 0.2 mol L1, 0.5 mmol; DtBuM: 0.2 mol L1, 0.5 mmol) was added. This mixture was stirred for 3 minutes, after which 200 µL of P4-t-Bu in toluene solution (1 mmol L⁻¹; 0.2 pmol) was added, followed by a fresh 2.5 mL solution of a mixture of DOM and DtBuM monomers in toluene (DOM: 0.2 mol L⁻¹, 0.5 mmol; DtBuM: 0.2 mol L⁻¹, 0.5 mmol). The mixture was stirred for 3 minutes before the next block was added. The additions of P4-t-Bu and monomer solutions were repeated 3 more times for a total of 5 blocks.Three minutes after the addition of the last block, polymerization is stopped by adding two drops of methanol. The structure of the polymer thus obtained is confirmed by 1H NMR and by . CES in the THF (PMMA standard). The results of the molar sets obtained are compiled in the table below.

[0539] [Tables 19] Polymer Toi (mL) [ACS2] = 100 mmol.L 1 [P4-t-Bu] = 1 mmol.L 1 [Monomer] [DOM] = 0.2 mol.L 1 [DtBuM] = 0.2 mol.L 1 Mass Vol (mL) Vol (mL) Vol. (mL) Mn (g.mo r1) D PDOM 50 - co -P DtBuM 50 3 0.1 0.2 2.5 Block 1: 3 7,000 Block 1: 1.26 (PDOM 50 -co-P DtBuM 50) 2 / / 0.2 2.5 Block 2: 6 9,000 Block 2: 1 .30 (PDOM 50 -co-P DtBuM 50 ) 3 / / 0.2 2.5 Block 3: 9 0 000 Block 3: 1 .42 (PDOM 50 -co-P DtBuM 50 ) 4 / / 0.2 2.5 Block 4: 1 03 000 Block 4: 1 .49 (PDOM 50 -co-P DtBuM 50) 5 / / 0.2 2.5 Block 5: 1,07,000 Block 5: 1.48

[0540] 5.9 Synthesis of PDOM 25-b-PDEM 50 diblocks in isododecane or in a isododecane / toluene mixture

[0541] In a 10 mL Schlenk flask, 100 µL of ACS2 in isododecane solution (100 mmol L⁻¹; 10 pmol), 100 µL of P4-t-Bu in isododecane solution (1 mmol L⁻¹; 0.1 pmol), and 2 mL of isododecane were introduced. The mixture was stirred for 1 minute, and then a 1 mL solution of DOM monomer in isododecane (DOM: 0.25 mol L⁻¹*, 0.25 mmol) was added. This mixture was stirred for 1 minute; the reaction was monitored by 1H NMR. A 4 mL solution of DEM monomer in isododecane (DEM: 0.125 mol L⁻¹*, 0.5 mmol) was then added, and the mixture was stirred for 3 minutes. A cloudiness develops within one minute of adding the second block (PDEM). Three minutes after adding the second block, polymerization is stopped by adding two drops of methanol. The structure of the resulting polymer is confirmed by 1H NMR and CES in THF (PMMA standard).

[0542] A similar reaction is carried out in an isododecane / toluene mixture (90 / 10 v / v)

[0543] The results of the molar masses obtained are compiled in the table below:

[0544] [Tables20] Polymer Solvent (3 mL) [ACS2] = 1 00 mmol.L -i [P4-t-Bu] = 1 mmol .L1 [Monomer] [DOM] = 0.25 m oLL1 [DtBuM] = 0.125 mol.L 1 Mass Vol (mL) Vol (mL) Vol. (mL) Mn (g.mo r1) D PDOM 2S -b -PDEM 50 Isododecane (3mL) 0.1 0.1 1.0 Block 1: 2 1 100 Block 1: 2.77 4.0 Diblock: 3 7 200 Diblock: 2.75 PDOM 2S -b -PDEM 50 Isododecane / toluene 3mL (90 / 10; v / v) 0.1 0.1 1.0 Block 1: 1 3,800 Block: 1.30 4.0 Diblock: 1 01,000 Diblock: 1.83 6) Epoxidation of polyMuconates:

[0545] [Chem.47] COOEt COOtBu mCPBA(4eq) ï T *************^^ CHCK, 12 PM, BOX T rocH COOfBu PDtBuMl EPPDtBuMl

[0546] The following experimental protocol is applicable to all unsaturated polymers described in the invention. 127 mg of PDtBuMl (repeating motif M = 254 g.mol1, 0.5 mmol, 1 eq.), 5 mL of chloroform, and 478 mg of m-chloroperbenzoic acid (2 mmol, 4 eq.) are introduced into a 25 mL Schlenk. The mixture is then heated at 60 °C for 12 h. The reaction is monitored by spectrometry or spectroscopy. When the reaction is complete, 2 mL of a saturated sodium thiosulfate solution are added to the reaction mixture, which is then stirred for 10 minutes. The organic phase is washed with a saturated sodium bicarbonate solution, then with a saturated sodium chloride solution, before being dried over magnesium sulfate. The solvent is evaporated under vacuum to obtain a pale yellow polymer with a yield greater than 80% (EPPDtBuMl) 7) Synthesis of Sodium PolyMuconates:

[0547] 7-1) By alkaline hydrolysis from PDEM:

[0548] In a typical process, 1.60 g of PDEM (number of mol units = 8.07 mmol, Mn (motif) = 198.22 g / mol, 1 eq.) diluted in 20 mL of ethanol is added to a flask fitted with a condenser. 16 mL of a 2 mol / L aqueous NaOH solution (32.28 mmol, 4 eq.) is then added to the mixture. The mixture is refluxed for 1 h. An orange precipitate forms. The mixture is then concentrated under vacuum and diluted with 100 mL of distilled water. The poly(sodium muconate) (PMuNa) solution is dialyzed (membrane, pore size: 3.5 kDa) for one day. The solution is collected and evaporated under vacuum. The polymer obtained is a translucent orange solid. Mass yield: 85.6%

[0549] PDEM 1, PDEM2, PDEM3 are thus hydrolyzed to give respectively PMCOO1, PMCOO2 and PMCOO3 of increasing molecular weight.

[0550] 7-2) By selective acid hydrolysis of a PDOM 50 -stat-PDtBuM 50;

[0551] [Chem.48] œes«.oct çœ* I 5S H .COOn-Oet " TFA / Aesthetic acid "Kï COOH *■

[0552] 200 mg of PDOM5o-stat-PDtBuM5o (MDtBuM unit = 254 g mol⁻¹, 0.5 mmol, 1 eq.) are introduced into a 25 mL Schlenk flask, followed by the addition of 2 mL of acetic acid and 0.5 mL of trifluoroacetic acid. The mixture is stirred at room temperature, and the disappearance of the characteristic peak of the tBu group is monitored by spectroscopy or spectrometry. After 6 h, the reaction is complete, yielding a statistical polymer containing DOM units and MCOOH muconic acid units: PDOM5o-stat-PMCOOH5o.

[0553] 8) Di-hydroxylation and hydrolysis of polyMuconates:

[0554] [Chem.49] CûGB CCOBu TFA? Formic acid COOR ÔH COOiSa -1- CQàM ÔH ” EPPDæuMI PMHsdiOH

[0555] In a protocol applicable to all epoxidized polymers described in the invention, 135 mg of EPPDtBuMl (repeating pattern M = 270 g.mol-1, 0.5 mmol, 1 eq.), 4 mL of formic acid, and 1 Ml of trifluoroacetic acid (TFA) were introduced into a 10 mL test tube. The mixture was then stirred at room temperature for 4 h. The reaction was monitored by spectrometry or spectroscopy. When the reaction was complete, the excess acid was evaporated under high vacuum. 10 mL of an aqueous sodium hydroxide solution (10 mL, 0.1 M, 1 Ml) was added to the mixture. The solvent was evaporated under vacuum to obtain a yellow / orange polymer with a yield greater than 80% (PMNadiOH) 9) Crosslinking protocol:

[0556] [Chem.50]

[0557] In a typical procedure for the chemical crosslinking of 10% of the acidic motifs of PMCOO in water, 50 mg of PMCOO (number of mol units = 0.269 mmol, 186 g / mol per motif, 1 eq.) are diluted in 1 mL of distilled water in a flask containing a magnetic stirrer. The mixture is homogenized for 5 minutes. 269 pL of a 0.1 mol / L (26.9 pmol, 0.1 eq.) ethylene glycol diglycidyl ether (EGDE) solution in THF is added to the mixture. The medium is then placed in an oven at 150 °C for 1 h. The crosslinked polymer is an opaque orange solid. The residue obtained is then mixed with 5 mL of distilled water to form a gel. This crosslinked polymer gel is analyzed rheologically.

[0558] The following gels were made from the polymers PMCOO1, PMCOO2 and PMCOO3 using different proportions of difunctional crosslinkers (such as EGDE) or tri-functionals such as trimethylol propane triglycidyl ether (TPTE):

[0559] [Tables21] Starting Polymuconic Acid Polymer Crosslinking 1' Appearance of the medium containing the polymer at 1% in water Non-crosslinked PMCOO1 0% Transparent, low-viscosity liquid PMCOO1R3 PMCOO1 EGDE 20% 1% in water Δ=19.6°, G*=0.510 Pa

[0560] (a) The percentage indicated corresponds to the molar percentage of functions epoxides compared to muconic acid motifs in the starting polymer

[0561] [Tables22] Starting Polymuconic Acid Polymer Crosslinking 1' Rheological Data of the Thickened Medium Non-crosslinked PMCOO2 0% Transparent, low-viscosity liquid PMCOO2R3 PMCOO2 EGDE 5% 1% in water 0=12.6°, G*=10.74 Pa PMCOO2R4 PMCOO2 EGDE 10% 1% in water Δ=6.6°, G*=500 Pa PMCOO2R5 PMCOO2 EGDE 20% 1% in water Δ=6.4°, G*=268 Pa

[0562] a) The percentage indicated corresponds to the molar percentage of epoxide functions relative to the muconic acid motifs in the starting polymer

[0563] [Tables23] Starting Polymuconic Acid Polymer (Cross-linked) Rheological data of the thickened medium Non-crosslinked PMCOO3 0% Transparent, low-viscosity liquid PMCOO3R1 PMCOO3 EGDE 5% 1% in water Δ=5.9°, G*=4875Pa PMCOO3R2 PMCOO3 EGDE 10% 1% in water ΔH=6.8°, G*=4652Pa PMCOO3R3 PMCOO3 EGDE 20% 1% in water ΔH=5°, G*=9011Pa PMCOO3R4 PMCOO3 TPTE 5% 1% in water ΔH=3.2°, G*=685Pa PMCOO3R5 PMCOO3 TPTE 10% 1% in water ΔH=4.8°, G*=918Pa PMCOO3R6 PMCOO3 TPTE 20% 1% in water ΔH=7.2°, G*=836Pa

[0564] (a) The percentage indicated corresponds to the molar percentage of functions epoxides compared to muconic acid motifs in the starting polymer

[0565] Other types of crosslinking agents have been used: Hexamethylene diamine (HMD), Triethylene glycol (TEG), Sorbitol (S), Citric acid (AC) according to the protocol previously described.

[0566] [Tables24] Crosslinked Polymer Starting Polyacid Reaction Conditions Crosslinking a) Rheological Data of Thickened Medium Non-crosslinked Reference PMCOO3 — 0% Non-viscous transparent liquid PMCOO3R7 PMCOO3 2h at 150°C HMD 10% 1% in water ΔH=4.9°, G*=761 Pa PMCOO3R8 PMCOO3 1h at 150°C TEG 10% 1% in water ΔH=6.3°, G*=724 Pa PMCOO3R9 PMCOO3 1h at 150°C CS 10% 1% in water ΔH=6.7°, G*=2428 Pa PMCOO3R10 PMCOO3 30min at 150°C AC 10% 1% in water ΔH=6.9°, G*=424 Pa

[0567] a) The percentage indicated corresponds to the molar percentage of reactive functions relative to the muconic acid motifs in the starting polymer.

[0568] 10) Protocol for the degradation by ozonolysis of DEM and synthesis of diacid carboxylic-diester

[0569] [Chem.51]

[0570] A 50 mL solution of PDEM5 in methanol (20 g L⁻¹, 1 g) was loaded into a 250 mL flask containing a magnetic stir bar. The mixture was cooled in an ice bath to limit solvent evaporation. A glass pipette connected to an ozone generator (Model: C-L010-DT) was used to inject gas at a rate of 5 L / min (theoretical ozone concentration: 2 mg / L). The mixture was left to undergo ozonolysis for 1 h. The solvent was then evaporated at a low temperature (< 30°C) in a rotary evaporator. The resulting product (a colorless oil) was then dispersed in 50 mL of demineralized water. 10 mL of 30% wt. aqueous H2O2 solution and 0.5 mL of 98% H2SO4 were added to the medium. The reaction was maintained under reflux (100°C) for 30 min. The medium was then extracted into a separatory funnel with 3 x 15 mL of diethyl ether.The organic phase was then neutralized and extracted with 10 mL of saturated sodium bicarbonate solution, and then extracted twice with 15 mL of demineralized water. The recovered basic aqueous phase was neutralized by the dropwise addition of IM hydrochloric acid solution until a solution with a pH below 4 was obtained. This acidic aqueous solution was extracted with 3 x 15 mL of diethyl ether to extract the product of interest. The solvent was evaporated using a rotary evaporator, and the resulting product (a clear oil) was purified on a silica column with an eluent composed of a dichloromethane / acetic acid mixture (95 / 5 v / v). The structure of the recovered product was confirmed by 1H and 13C NMR. 11) Tensor Effect#: on PMCOO3.

[0571] This test consists of comparing in vitro the tensile strength of the polymer to be evaluated with a reference tensile polymer: Hybridur® 875 polymer dispersion from Air Products (aqueous dispersion at 40% by weight of particles of an interpenetrating network of polyurethane and acrylic polymers). The polymer to be evaluated was deposited onto a nitrile rubber strip cut from a glove sold under the reference "Safeskin Nitrile Critical" No. 038846 by Dominique Dutscher SA, with a surface area of ​​3.5 cm² previously stretched on a support. A solution containing the polymer to be evaluated was then deposited onto the elastomer strip, depositing 1.8 mg (dry weight) of polymer.

[0572] 26 pl of an aqueous solution containing 7% MA of Hybridur® 875 polymer was deposited on a nitrile rubber strip to obtain a tensor reference strip and 26 pl of a solution containing 7% MA of PMCOO3 in water was deposited on another strip.

[0573] After drying for 24 hours at 70°C, the curling (retraction) of the strip treated with the acrylic polymer is observed in comparison with that obtained with the control (Hybridur® 875):

[0574] [Tables25] 7% polymer in water. Tightening effect. Hybridur® 875 (comparative). Correct. PMCOO3. Comparable to the reference. 12) Serum containing a tensor:

[0575] The following anti-wrinkle serum composition was prepared:

[0576] [Tables26] Ingredients Quantity by mass Muconic Acid (PMCOO3) 7g Hexamethyl diisocyanate / polyethylene glycol copolymer with alpha-omega stearyl polyoxyethylene (Rheoluxe 811 from Elementis) 1g Preservatives 0.85g Water q.s. 100g 13) Firming cream:

[0577] The anti-wrinkle cream composition (O / W Emulsion) below was prepared by mixing phases A + B + C:

[0578] Phase A:

[0579] [Tables27] Ingredients Quantity by mass Glyceryl stearate and PEG-100 stearate mixture (SP Arlacel 165 FP from Croda) 2g Dialkyl tartrate (linear C14-C15), cetostearyl alcohol, lauryl alcohol, oxyethylene (25OE) oxypropylene (25 OP) mixture (Cosmacol ETI from Sasol) 1.5g Cyclohexasiloxane 10g Stearyl alcohol 1g

[0580] Phase B:

[0581] [Tables28] Ingredients Quantity by mass Preservative 1 g Pentasodium salt of ethylenediaminetetramethylenephosphonic acid 0.05 g Polyacrylamidomethylpropanesulfonic acid, partially neutralized with ammonia and highly crosslinked (Hostacerin AMPS from Clariant) 0.4 g Xanthan gum 0.2 g Water 37.15 g

[0582] Phase C:

[0583] [Tables29] Ingredients Quantity by mass Polymuconic Acid PMCOO3 7g

[0584] Operating procedure:

[0585] The constituents of phase B except the thickener are heated to 75°C and the thickener is then incorporated; the mixture is stirred until a homogeneous gel is obtained.

[0586] Phase A is heated to approximately 75°C, then the emulsion is made by incorporating phase A into phase B.

[0587] Finally, at 40-45°C, phase C is incorporated and agitation is maintained until complete cooling.

[0588] The resulting composition, when applied to the face, effectively smooths wrinkles.

[0589] 14) Resistance of polyMuconate deposits to water, oil and sebum:

[0590] A formulation of the polymers of the invention is applied to a Bioskin-type substrate, an elastomer substrate simulating skin and consisting of a polyurethane elastomer reinforced with elastane (a specific polyurethane) (manufacturer BEAULAX, Japan). This formulation is allowed to dry for 24 hours at room temperature before evaluating the resistance of the resulting deposit as follows:

[0591] Deposit of 50pl of olive oil or sebum or water.

[0592] After 5 minutes of contact, a cotton ball was passed 15 times and an observation of the degradation of the deposit was carried out.

[0593] The formulation applied to the Bioskin-type support always has the following composition:

[0594] [Tables 30] Ingredients Quantity by mass Polymer of the invention 25% DC Red 7 10% Cosmetic solvent (ethanol or isododecane) q.s. 100%

[0595] Resistance is evaluated according to the following scale:

[0596] +++: no damage to the deposit, which is as it was originally

[0597] ++: a little bit of transfer but the repository is as it was originally

[0598] +: the deposit is slightly altered and some transfer is observed

[0599] Two compositions (one in a hydroalcoholic medium and the other in an anhydrous oily medium) were prepared from the composition in Table 17, expressed in g / 100 g of composition. Their resistance to water, oil, and sebum was evaluated as described in [Fig. 1] ([Fig. 1] where PDEM300=PDEM3). This figure shows that the color (red) is not transferred to the cottons, which is characteristic of very good resistance to the various aggressors (water, sebum, oil).

[0600] The results have been recorded in the table below:

[0601] [Tables31] Water-Resistant Formula: Olive Oil, Sebum-Resistant PDEM 3 25%, DC RED7 10%, Ethanol q.s. 100% +++ +++ +++ PDOM 3 25%, DC RED7 10%, Isododecane q.s. 100% +++ +++ +

[0602] It appears that the films obtained from compositions comprising a polymer according to the invention (PDEM 3, PDOM 3) make it possible to obtain, after application on keratinous materials, excellent resistance to water and oil, and good resistance to sebum.< / mt>

Claims

1. Demands Cosmetic use, a) of one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) or of a composition containing them, for the treatment of keratinous materials, said homopolymer(s) a1) and / or copolymer(s) a2) comprising: i. several repeating units selected from the following units (A) together with their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates: polymer units (A) in which: • R i represents a (Ci-C4)alkyl group such as methyl, or a -C(O)-OR'4 group; • R2 and R3, whether identical or different, represent a hydrogen atom or a hydroxyl group; R2 and R3 together form a connection; or R2 and R3 together form a heterocycle, saturated or unsaturated, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, • R4 and R4', whether identical or different, represent: i. a hydrogen atom, ü- a cationic counter ion M+ preferably an alkali or alkaline earth metal cation, or ammonium, iii. a hydrocarbon group, saturated or unsaturated, linear or branched, or cyclic, aromatic or non-aromatic, comprising from 1 to 140 carbon atoms; preferably comprising from 2 to 20 carbon atoms, preferably said hydrocarbon group is saturated acyclic linear or branched, or cyclic; said hydrocarbon group being further: • possibly substituted by one or more (di)(Ci-C4)(alkyl)amino groups; and / or • possibly interrupted by one or more a') heteroatoms such as O, S, N(Ra), and Si(Rb)(Rc), b') S(O)r with r being 1, 2 or 3, carbonyl, c') or associations of a') with b • ') such as -C(O)-O-, -OC(O)-, amide -C(O)- N(Ra)-, -N(R a)-C(O)-, urethane -N(Ra)-C(O)-O- or -OC(O)- N(Ra)-, urea - N(Ra)-(CO)-N(Rb)-, carbonate -OC(O)-O-, -[O-Si(R b)(Rc)]P- or -[(CRa2)qO]p- with q an integer between 1 and 4; • with p between 1 and 200, in which Ra, Rb, Rc, identical or different, represent a hydrogen atom or (Ci-C4)alkyl group, particularly Ra represents a hydrogen atom, Rb and Rc, being such as defined previously, preferably represent a (Ci-C4)alkyl group such as methyl; It is understood that: - when R2 (and / or R3) represents a hydroxyl radical and R4 represents a hydrogen atom or a cationic counterion M+ (and / or R'4), then R2 and the group -O(O)-O1^ (and / or R3 and the group -C(O)-OR'4) can together form a 5-membered or 6-membered heterocycle; and - when the radical R4 and / or R4' represents a cationic counterion, then the oxygen atom of the group -ORj and / or R / will be in its anionic form -O, and - the radicals R 1, of the different units (A), the radicals R 2 of the different units (A), the radicals R 3 of the different units (A), the radicals R 4 of the different units (A), and the radicals R' 4 of the different units (A), can be identical or different.

2. Use according to the preceding claim, for the treatment of keratinous materials, particularly human keratinous materials, in particular for thickening cosmetic compositions, particularly those intended for coloring keratin fibers and / or for shaping keratin fibers such as hair, or for making up the skin and / or for skin care, and / or for forming a film on the surface of the keratin material(s), particularly resistant to external aggressions such as water, fatty substances such as oil and / or sebum.

3. Use according to claim 1 or 2 of one or more homopolymer(s) al) and / or one or more copolymer(s) a2), said homopolymer(s) al) and / or copolymer(s) a2) comprising: i. several repeating units selected from the units (A) as defined in the preceding claim, and ii. one or more unit(s) selected from units (Al) to (A15) as defined below or mixtures thereof, as well as their optical and geometric isomers, their acid or base salts, organic or mineral, and their solvates such as hydrates: (w) (A9) (Garlic) Formulas (Al) to (A15) in which RI, R2, R3 and R4 are such as defined for R i, R 2, R 3 and R 4 respectively as units (A), R2 and R3 being able to form together a bond or R2 and R3 being able to form together a heterocycle, saturated or unsaturated, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 members, preferably 3 members such as epoxy; X represents an oxygen atom, sulfur atom or an amino group N(Ra) with Ra representing a hydrogen atom, or a (Cr C4)alkyl group; RET, identical or different, represents a group resulting from the crosslinking of one or more reactive group(s) of at least one unit (A), preferably one or more hydroxy group(s) and / or one or more -C(O)-OR'4 and / or -C(O)-OR4 group(s) of at least one unit (A), with one or more crosslinking agent(s); and represents the point of attachment of the group to the rest of the molecule; It is understood that the radicals R1, R2, R3, R4, R'4 and RI, R2, R3 and R4 of the different units (A), (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and / or (A15) may be identical or different.

4. Use according to any one of the preceding claims wherein the units (A) are such that R i represents a (CrC4 )alkyl group such as methyl.

5. Use according to any one of claims 1 to 3 wherein the units (A) are such that R i represents a -C(O)-OR' 4 group with R 4 ', identical or different, represent i) a hydrogen atom, ii) a cationic counter ion M+ preferably an alkali metal or alkaline earth cation, or ammonium, or iii) a hydrocarbon chain, saturated or unsaturated, linear or branched, non-cyclic, or saturated or unsaturated cyclic, aromatic or non-aromatic, comprising from 1 to 30 carbon atoms; preferably comprising from 2 to 20 carbon atoms, preferably said hydrocarbon chain is saturated acyclic linear or branched, or cyclic; said hydrocarbon chain being further: • optionally substituted by one or more (di) (Ci-C4)(alkyl)amino groups;and / or • possibly interrupted by one or more a') heteroatoms such as O, S, N(Ra), and Si(Rb)(Rc), b') S(O)r, carbonyl, c') or associations of a') with b') such as -C(O)-O-, -OC(O)-, amide -C(O)- N(Ra)-, -N(Ra)-C(O)-, urethane -N(Ra)-C(O)-O- or -OC(O)- N(Ra)-, urea -N(Ra)-(CO)- N(Rb)-, carbonate -OC(O)-O-, -[O-Si(Rb)(Rc)]p- or -[(CRa2)qO]p- with q an integer between 1 and 4; with p between 1 and 200, with r being 1 or 2, Ra, Rb, Rc, identical or different, represent a hydrogen atom or (Ci-C4)alkyl group, particularly Ra represents a hydrogen atom, Rb and Rc, being as defined previously, preferably represent a (Ci-C4)alkyl group such as methyl.

6. Use according to any of the preceding claims wherein, the units (A) are such that R2 and R3, identical or different, represent a hydrogen atom or a hydroxy group, it being understood that R2 and R3 cannot simultaneously represent a hydrogen atom, preferably R2 and R3 represent a hydroxy group; More specifically, polymer units (A) are polymer units (B) with the following formula: (B), formula (B) wherein R i and R 4 are as defined in any one of the preceding claims, particularly the polymeric units (B) are such that R4 represents a hydrogen atom or an M+ representing a cationic counterion, preferably an alkali or alkaline earth metal cation, or ammonium, a primary, secondary or tertiary (CrC8)alkylamine which may comprise one or more nitrogen and / or oxygen atoms and may comprise several alcohol functions, it being understood that at least one of the nitrogen atoms is protonated by a hydrogen atom so as to form an ammonium, it being understood that each of these amines is protonated, said units (B) may then be in the form of a cyclized polymeric unit (Bl), particularly in acidic media: (B) (Bl) and when Ri represents a -C(O)-OR' 4 group, in particular carboxy, or carboxylate -C(O)OM, then the polymer units are (B'): said polymeric units (B') can cyclize, particularly in acidic media, to lead to bicyclic units (B'1): (B'1) (B')

7. Use according to any one of claims 1 to 5 wherein the units (A) are such that R2 and R3 together form a bond; more particularly the polymeric units (A) are polymeric units (C): (C) as well as their optical, geometric and solvated isomers such as hydrates; formula (C) wherein Ri and R4 are as defined in claims 1 or 3; particularly the polymeric units (C) are such that R1 represents a -C(O)-OR'4 group, in particular carboxy, or carboxylate -C(O)OM with M representing M+ as defined above, then the polymeric units are (C'): (C') Formula (C') with R 4 and R' 4, identical or different, preferably identical, are as defined in claims 1 or 3.

8. Use according to any one of claims 1 to 5 wherein, the units (A) are such that R 2 and R 3 together form a saturated or unsaturated heterocycle, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, preferably 3 links such as epoxy; particularly the polymeric units (A) are polymeric units (D) as well as their optical and solvated isomers such as hydrates; formula (D) in which Ri and R4 are such as defined as defined in claims 1 or 3; particularly the polymer units (D) are such that Ri represents a -C(O)-OR'4 group, notably carboxy, or -C(O)OM then the polymer units are (D'): Formula (D') with R 4 and R' 4, identical or different, preferably identical, are as defined previously.

9. Use according to any one of the preceding claims wherein the units (A) and optionally ii) one or more unit(s) (Al) to (A15) or mixtures thereof as defined in any one of claims 1, 3 to 8, further comprise iii) one or more unit(s) resulting from the polymerization of one or more additional monomer(s) selected from i) (C1-C4) (alkyl)acrylate of (Ci-C22)(cyclo)alkyl, preferably (meth)acrylate of (C5-C22)(cyclo)alkyl, and / or ii) (Ci-C4)(alkyl)acrylamide of (Ci-C22)(cyclo)alkyl, preferably (meth)acrylamide of (C5-C22) (cyclo)alkyl (referred to as copolymer X).

10. Use according to any one of claims 1 to 8, wherein the units (A) and optionally ii) one or more units (Al) to (A15) or mixtures thereof as defined in any one of claims 1, 3 to 8, further comprise iii) one or more units resulting from the polymerization of one or more additional monomer(s) selected from the monomers of the following formula (II): H2C=C(R6)-C(O)-ERs formula (II) wherein E represents an oxygen atom or N(R), preferably E represents an oxygen atom, with R representing a hydrogen atom or (Ci-C4)alkyl group such as methyl, and R6 represents a hydrogen atom, a (Ci-C4)alkyl group such as methyl, and Rs representing: • a group (Ci-C22)alkyl preferably (Ci-C2o)alkyl, more preferably (Ci-Cio)alkyl linear or branched, optionally interrupted by one or more oxygen atoms, preferably R5 represents methyl, ethyl,n-propyl, i-propyl, n-butyl, s-butyl, t-butyl, n-hexyl, n-heptyl, 2-ethylhexyl, n-octyl, i-octyl, n-decyl, stearyl, methoxyethyl, ethoxyethyl and methoxypropyl isodecyl, lauryl, stearyl, hexadecyl, more preferably methyl, or • a (C5-C22)cycloalkyl group preferably (C5-C20)cycloalkyl, in particular cyclohexyl, norbomyl or isobomyl, preferably isobomyl or • an aryl or aryl(Ci-C4)alkyl group such as benzyl; more preferably iii) chosen from the following formula (II') monomers: H 2 C=C(R 6 )-C(O)-OR s (II') with R 5 representing a linear or branched (Ci-C6)alkyl group such as methyl and R 6 representing a hydrogen atom, a (Ci-C4 )alkyl group such as methyl.,

11. Use according to claim 9 or 10 wherein the units (A) are such that the copolymers a2) can be hydrolyzed leading to a copolymer further comprising polymeric units of the following formula (III): formula (III) wherein R 6 is as defined in the preceding claim in formula (II) or (II'), and A represents a hydroxy, amino, or M+ group with M+ representing a cationic counter ion.

12. Use according to any one of the preceding claims wherein the homopolymer(s) a1) and / or the copolymer(s) a2) further comprise ii) one or more unit(s) (A1) to (A15) as defined in claim 3, where RET represents a group resulting from the crosslinking of at least one hydroxyl group and / or at least one -C(O)-OR'4 and / or -C(O)-OR4 group of a unit (A) with at least one crosslinking agent selected from: - 1) organic compounds comprising at least 2 heterocyclic groups comprising 3 to 10 members (preferably 3 members), and 1 to 3 heteroatoms such as O, S, N, and / or 1 to 3 carbonyls, preferably epoxide or aziridine; or - 2) organic compounds comprising at least 1 group electron-donating group such as a primary or secondary amine group such as amino, preferably at least two electron-donating groups such as hydroxy or thiol; and - 3) (in)organic compounds with at least one group phosphorus- -OP(O)(OH)2j-OP(O)(O M+)2, -P(O)(OH)2or -P(O)(O M+)2 with M+ as defined in claims 1 or 3.

13. Use according to any one of the preceding claims wherein the homopolymer(s) a1) and / or the copolymer(s) a2) further comprise ii) one or more unit(s) (A1) to (A15) as defined in claim 3, wherein RET is obtained by crosslinking at least one hydroxyl group and / or at least one -C(O)-OR'4 and / or -O(O)-O1^ group of a unit (A) with at least one crosslinking agent selected from (S'), b-1), b-2), b-3), b-4), b-5), b-6), b-7) and b-8) and mixtures thereof: formula (S'): JP Formula (S') in which: - Heart represents a multivalent radical, polymeric or non-polymer, in particular Heart represents: • either i) a multivalent, acyclic, saturated or unsaturated, linear or branched, or cyclic, saturated or unsaturated, aromatic or non-aromatic hydrocarbon group comprising from 2 to 40 carbon atoms, particularly 3 to 36 carbon atoms, said hydrocarbon group being able to a) be interrupted by one or more heteroatoms or groups selected from oxygen, sulfur, nitrogen, silicon, or -[O-Si(Rb)(Rc)]P- atoms, with Rb, Rc being as defined above, p between 1 and 200, carbonyl -C(O)-, or their combinations such as ester -C(O)-O-, -OC(O)-, amide -C(O)-N(R')-, -N(R')-C(O)-, urethane -N(R')-C(O)-O- or -OC(O)-N(R')-, urea -N(R')-(CO)-N(R')-, or carbonate -OC(O)-O-, in which R' represents a hydrogen atom, an alkyl group having from 1 to 4 carbon atoms, • either ii) an organic polymer, preferably selected from an ethylenic homopolymer, ethylenic copolymer; • either iii) an inorganic polymer; or • either iv) a hybrid polymer; it being understood that the core in its polymer form ii), iii), or iv) may be dendrimeric, or hyperbranched; and - n, m, and p, whether identical or different, represent an integer preferably between 0 and 10, more preferably between 0 and 5, it being understood that the sum of m+n+p is greater than or equal to 2, preferably between 2 and 10; b-1) Crosslinking agent comprising at least 2 epoxide functions: particularly among the epoxide crosslinking agents of formula (E) below: Heart (E) Formula (E) in which: n represents an integer greater than or equal to 2, preferably between 2 and 10, more preferably between 3 and 5; Cœur is as defined previously in the formula (S'); preferably the crosslinkers are of formula (E) and such that Core represents an acyclic, linear or branched, saturated, polyvalent (particularly divalent or trivalent) hydrocarbon group comprising from 2 to 20 carbon atoms, better from 3 to 10 carbon atoms, possibly interrupted by one or more heteroatoms such as oxygen, and n is such as defined above preferably equals 2 or 3; and more particularly ethylene glycol diglycidyl ether (EGDE) and trimethylol propane triglycidyl ether (TPTE); b-2) Crosslinking agent containing at least 1 amine function: particularly chosen from the amine crosslinking agents of formula (F) below Heart (F) Formula (F) in which n, and Core are as defined previously for (E) and R represents a hydrogen atom, a linear or branched (Ci-C6)alkyl group optionally substituted by one or more aryl groups such as phenyl; the amine crosslinking agent(s) is / are preferably chosen from non-polymer amine compounds such as ethylenediamine, the lysine, glutamic acid, glutamine, cysteine, amino polyethers, 3-aminopropyltriethoxysilane (APTES); specifically chosen from: (G), (H), (I) or (J) H2N-ALK-Si(Re)(Rf)-O[Si(R'e)(R'f)O-]u-Si(Re)(Rf)-ALK'-NH2 (G) Re-Si(Re)(Rf)-O[Si(R'e)(R'f)O-]v-[Si(R'e)(ALK-NH2)-O]w-Si(Re)(Rf)2 (H) H2N-ALK-Si(Re)(Rf)-O[Si(R'e)(R'f)O-]x-Si(Re)(Rf)-ALK'-H (I) Rg-Si(Re)(Rf)-O[Si(R' e)(R' f)O-]y-[Si(R'e)(ALK' ' -NH-ALK' ' ' -NH2)-O]z-Si(Re)(Rf)-R'g(J) Formulas (G), (H), (I) or (J) in which: ALK and ALK', identical or different, preferably identical, represent a linear or branched (Ci-C6)alkylene group, preferably (Ci-C4)alkylene such as propylene; - ALK” represents a linear or branched (Ci-C6)alkylene group, preferably (Ci-C4)alkylene such as propylene, - ALK'” represents a linear or branched (Ci-C6)alkylene group, preferably (Ci-C4)alkylene such as ethylene; — R e, R f, R' e and R' f, identical or different, preferably identical, represent a (CrC4)alkyl group such as methyl; R'e,Rg and R'g, identical and different, represent a hydroxy group, (CrC4)alkyl; - u represents an integer greater than or equal to 2, preferably u represents an integer such that the average molecular weight by weight of silicone is between approximately 500 and 55,000; - v and w represent an integer and are such that the average molecular weight by weight of silicone is between approximately 50 and 3000; y and z represent an integer and are such that the average molecular weight by weight of silicone is between approximately 5,000 and 500,000; b-3) Crosslinking agent containing at least 2 carboxy(late) functions: particularly chosen from among the polycarboxylated crosslinkers of formula (K) below, as well as its organic or mineral base salts: Formula (K) in which n, and Core are such as defined previously for (E); b-4) Crosslinker containing at least 2 aziridine functions: particularly chosen from among the organic crosslinkers comprising at least 2 aziridine groups possibly substituted by one or more (Ci-C4)alkyl groups such as methyl, and more particularly from the polyaziridine crosslinkers of formulas (L) or (M) below: Formulas (L) and (M) in which n, and Core are such as defined previously for (E); b-5) Mixed crosslinkers containing at least 2 functional groups, including at least one aziridine and at least one epoxide: particularly selected from the mixed crosslinkers of formula (N) below: (N) Formulas (N) in which n represents an integer greater than or equal to 1, preferably between 1 and 10, o, and p, identical or different, represent an integer between 0 and 10, more preferably between 0 and 5, it being understood that the sum of o+p is an integer greater than or equal to 1 and preferably the sum n+o+p is an integer between 2 and 10; The core is that defined previously for (S'); b-6) Crosslinking agent containing at least 2 hydroxy functions particularly selected from among organic crosslinking agents comprising at least 2 hydroxy groups; and more particularly from among polyhydroxylated crosslinking agents selected from those of the following formula (O): Heart (O) Formula (N) in which n, and Core are such as defined previously for (E); b-7) Crosslinking agent containing at least 2 thiol functions particularly chosen from among organic crosslinking agents comprising at least 2 thiol groups; and more particularly from polythiol crosslinking agents chosen from those of the following formula (P): Heart (P) Formula (P) in which n, and Core are such as defined previously for (E); the polythiol crosslinkers are more particularly chosen from Pentaerythritol tetra(3-mercaptopropionate), Trimethylolpropane tris(3-mercaptopropionate); and b-8) Phosphorus-containing (in)organic crosslinker(s) particularly selected from among phosphorus-containing (in)organic crosslinkers, more particularly tri(Ci-C6)alkylphosphate of alkali or alkaline earth metals such as trimethaphosphate of alkali or alkaline earth metals (sodium) and other phosphate esters; preferentially chosen from (S'), (E), (F), (G), (H), (I), (J), (K), (L), (M), (N), (O) and (P) as defined below, more preferentially chosen from (S'), (E), (F), (K), and (O).

14. CP composition, in particular cosmetic, which contains: a. one or more homopolymer(s) (a1) and / or copolymer(s) (a2) comprising several repeating units selected from units (A) and optionally ii) one or more unit(s) (A1) to (A15) or mixtures thereof as defined in any one of the preceding claims, and optionally iii) one or more units resulting from the polymerization of one or more additional monomer(s) (i), (ii) and (iii) being as defined in any one of the preceding claims; and b. optionally one or more crosslinking agent(s) in particular as defined in claim 12 or 13; provided that when the CP composition does not include a crosslinker and / or does not include units (Al) to (A 15), nor units resulting from the polymerization of one or more additional monomer(s) as defined in the preceding claim, and that in units (A) the radicals R 2 and R 3 together form a bond; then the composition further comprises iv) one or more compound(s) selected from c) fats, preferably liquid at 25 °C and atmospheric pressure, in particular selected from volatile oils, d) colorants, e) pigments, f) active ingredients for the care of keratinous materials, in particular of the skin, g) UV filters (A) and / or (B), and h) their mixtures c) to g), preferably selected from c), d) and e).

15. Polymer selected from 1) to 5) as follows: 1) the statistical, sequenced or gradient copolymer(s) a2) comprising i) several identical repeating units selected from the units (A) as defined in any one of claims 1, 4 to 8; optionally ii) one or more unit(s) selected from the units (A1), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and (A15) or mixtures thereof as defined in claim 3, and / or optionally iii) one or more unit(s) resulting from the polymerization of one or more additional monomer(s) as defined in claim 9 to 11, it being understood that said copolymers comprise ii) and / or iii); 2) the copolymer(s) a2) statistical sequences or gradients comprising i) at least two different repeating units selected from the units (A) as defined in any one of claims 1, 4 to 8 and optionally ii) one or more unit(s) selected from the units (Al), (A2), (A3), (A4), (A5), (A6), (A7), (A8), (A9), (A10), (Ail), (A12), (A13), (A14) and (A15) and their mixtures as defined in claim 3 and optionally iii) one or more units resulting from the polymerization of one or more additional monomer(s) as defined in claim 9 to 11; 3) homopolymers a1) comprising units (A) for which R1 represents a -C(O)-OR'4 group, and R2 and R3 together form a bond and R4 and R'4 preferably identical, represent a linear or branched (C3-C8)alkyl group other than i-propyl, n-butyl, and 2-ethylhexyl, such as t-butyl or n-octyl; or a (C3-C1)cycloalkyl group other than cyclohexyl, such as isobornyl, said homopolymers further being different from cis-cis-di-n-octylmuconate; 4) homopolymers a1) comprising units (A) for which R i represents a -C(O)-OR'4 group, and R 2 and R 3 together form a saturated or unsaturated heterocycle, preferably saturated, comprising at least one oxygen atom, and comprising 3 to 6 links, preferably 3 links such that epoxy and R 4 and R' 4 preferably identical are as defined above; 5) homopolymers a1) comprising units (A) in which R2 and R3, identical or different, represent a hydrogen atom or a hydroxy group, it being understood that R2 and R3 cannot simultaneously represent a hydrogen atom, preferably R2 and R3 represent a hydroxy group.

16. Polymer according to the preceding claim selected from those of formula (E'), (F), (G), (H), (J) and (K) as well as their geometric isomers Z / E and solvates such as hydrates: (E') Formula (E') in which • R representing a hydrogen atom, a cationic counterion, a linear or branched (Ci-Cio)alkyl group, such as ethyl, • Representing a hydrogen atom, a cationic counter ion, a linear or branched (Ci-Cio)alkyl group such as n-octyl or t-butyl, or a cycloalkyl group such as isobornyl; and • n is an integer greater than or equal to 2 preferably between 1000 and 5, more preferably between 500 and 5 and even more preferably between 300 and 5; (F) Formula (F) in which: R representing a hydrogen atom, a cationic counter ion, a (Ci-Cio)alkyl group, linear or branched, such as ethyl; R representing a hydrogen atom, a cationic counter ion, a (Ci-Clo)alkyl group, linear or branched, such as n-octyl, or t-butyl; R 12 different from R n, representing a hydrogen atom, a cationic counter ion, a (Ci-Cio)alkyl group, linear or branched, such as ethyl or t-butyl and u and v represent the molar percentage of each statistically distributed repeating unit; The final degree of polymerization of the polymer is between 1000 and 5, more preferably between 500 and 5 and even more preferably between 300 and 5; (G) Formula (G) in which: • R io representing a hydrogen atom, a cationic counterion, a (Ci-Cio)alkyl group, linear or branched, such as ethyl • R n representing a hydrogen atom, a cationic counter ion, a linear or branched (Ci-Cio)alkyl group, such as n-octyl, • R 12 different from R n, representing a (Ci-Cio)alkyl group, linear or branched, such as ethyl or tert-butyl; • and w and x being the molar percentage of each repeating unit distributed in a sequenced manner; preferably the final degree of polymerization of the polymer is between 1000 and 5, more preferably between 500 and 5 and even more preferably between 300 and 5; formula (H) in which R io, R n and R i2 are as defined previously, in particular R iOet R n identical and preferably represent an ethyl, R n represents an octyl, R 13 represents a hydrogen atom, a cationic counter ion, a (Ci-Cio)alkyl group, linear or branched-such as ethyl; the final degree of polymerization of the polymer (H) is between 1000 and 1, more preferably between 500 and 3 and even more preferably between 300 and 5; Formula (J) in which RIO representing a (Ci-Cio)alkyl group, linear or branched, such as ethyl Rll representing a (Ci-Cio)alkyl group, linear or branched, such as ethyl R12 representing a (Ci-Cio)alkyl group, linear or branched, such as ethyl; and w and x being the molar percentage of each repeating unit distributed sequentially; and preferably the final degree of polymerization of the polymer (H) is between 1000 and 1, more preferably between 500 and 3 and even more preferably between 300 and 5; Formula (K) in which

17. • RIO representing a (Ci-Cio)alkyl group, linear or branched, such as methyl; • R'10 representing a hydrogen atom or a group (Cr C4)alkyl, linear or branched, such as methyl; • R h representing a (Ci-Cio)alkyl group, linear or branched, such as methyl or butyl; • R 12 representing a linear or branched (Ci-Cio)alkyl group, such as ethyl, and w and x being the molar percentage of each repeating unit distributed sequentially; and • preferably the final degree of polymerization of the polymer (K) is between 1000 and 1, more preferably between 500 and 3 and even more preferably between 300 and 5. Polymer according to claim 15 or 16 selected from those of formula Al-1 to Al-4 and A2-1 to A2-9 as well as their geometric isomers Z / E and solvates such as hydrates: A2-5 22 A2-S A2-7 A2-9

18. A polymer preparation process as defined in any one of claims 15 to 16 comprising the following steps i) to iii) according to diagram 1: t .... Scheme 1 in which the double bonds of compounds (IC), (C), (D), (Dl) and (B) can be of Z or E configuration, and (Dl) can be in salt form, preferably of alkali or alkaline earth metals such as sodium, potassium; process wherein route i) represents the polymerization of diene (IC) and its geometric isomers Z / Z, Z / E, E / Z or E / E, preferably in the presence of catalyst(s) and / or initiator(s) (radical initiators), in a particularly organic solvent, preferably aprotic, at a temperature less than or equal to 120 °C, to lead to the polymer(s) (C) according to the following scheme 2: Plan 2 in which the compound (IC) and polymer (C) contain radicals R i and R 4 which are as defined in any one of claims 1 to 8; preferably the polymerization by route i) is carried out by group transfer (GTP) according to a repetition of "Mukaiyama / Michael" reactions, and preferably "initiated" by one or more initiator(s) as defined below, in particular by one or more silylated acetal ketene (ACS) type compounds of general structure (a), which add to unsaturated monomers of the "Michael acceptor" type, preferably in the presence of one or more Lewis acid or base type catalyst(s), and preferably using an aprotic solvent; the preferred Initiator / Catalyst / Monomer / Solvent mixture with an Initiator / Catalyst molar ratio which is between 10000 and 5, more preferably between 1000 and 10 and even more preferably between 100 and 15;preferably the catalyst(s) is / are chosen from among Lewis acids and bases and particularly chosen from:; carbenes; phosphazenes; nitrogenous bases; phosphines; Lewis acids derived from boron and sulfur; and quaternary ammonium compounds preferentially phosphazenes such as 4a5 - catenadi(phosphazene) or t-Bu-P4 with the following formula: Ct-fj t-Bu-P4; Preferably, the initiator(s) is / are chosen from among the silylated acetal ketene (ACS) of general structure (a) and its E / Z geometric isomers and the initiators of formula (b) and its E / Z geometric isomers: Pi Formula (a) in which: - Pi and P4, whether identical or different, represent a (C1-C4)alkyl group such as methyl or ethyl; and - P2 and P3, whether identical or different, represent a hydrogen atom, a (Ci-Ci2)alkyl group such as methyl, or a (C2-Ci2)alkenyl group such as vinyl-CH=CH2; preferably P2 and P3 are different, more preferably P2 is a hydrogen atom and P3 represents a (C2-Ci2)alkenyl group such as vinyl-CH=CH2; formula (b) follows, as well as its geometric isomers Z / E: (bl Formula (b) in which: Pi, P3, P4 and n are as defined above; and - Core is as defined in claim 13; Preferably, the solvent(s) is / are chosen from: - polar aprotic solvents, including (C1-C6)halkanes such as dichloromethane, heterocycles such as tetrahydrofuran, (C1-C4)alkylnitriles such as acetonitrile, C1-C12 alkanool and C1-C12 carboxylic acid esters such as ethyl acetate, butyl acetate, isopropyl myristate, isononyl isononate, and - nonpolar aprotic solvents, particularly aromatics such as toluene, xylene, anisole, and alkanes linear or branched from C8 to C2o such as isododecane, or parleam; particularly polymerization is carried out at a temperature between -80 °C and + 100 °C, preferably from 0 °C to 100 °C and more preferably from 0 °C to 50 °C; to complete the polymerization of pathway i), one or more nucleophilic compound(s) or polar protic solvent(s) are added such as water, cyclic or non-cyclic, saturated or unsaturated carboxylic acids, preferably aromatic, or alcohols and polyols, especially (Ci-C6) alkanols, preferably methanol, ethanol, or benzoic acid; the copolymer(s) a2) comprising several repeating units chosen from the units (A) as defined of diblock type(s) is / are prepared by polymerization using a first monomer and one or more monofunctional initiator(s) and in particular of formula (a) polymerize a first monomer, then once this monomer is "consumed", a second monomer different from the first is added; the copolymer(s) a2) comprising several repeating units chosen from the units (A) as defined previously of triblock or multiblock type(s), preferably in the presence of initiators of Formula (a) or (b) and the different monomers of interest are added sequentially;process in which route ii) of epoxidation is carried out of said polymer(s) (C), in a particularly organic solvent, preferably aprotic, at a temperature less than or equal to 120 °C, to produce the epoxidized polymer(s) (D) according to the following scheme (3):; Scheme 3 in which polymers (C) and (D) contain radicals R i and R 4 which are as defined previously; ii) epoxidation is preferably carried out with one or more oxidizing agent(s) chosen from among dioxygen O2, peroxides such as H2O2, peracids in particular aromatic such as (halo)perbenzoic acids such as m-chloroperbenzoic acid, organic, organometallic or enzymatic catalysts such as derivatives of Titanium, Manganese, Aluminium; with one or more enzyme(s) chosen from among lipases which transform acids into peracids which epoxidize unsaturates, peroxygenases, nonheme monooxygenases, halogenperoxidases such as chloroperoxidase, cytochrome P450 monooxygenases; process wherein route iii) hydrolysis is carried out on said polymer(s) (D) to obtain one or more diol polymer(s) (B) according to the following scheme (4) Scheme 4 in which the polymers (B) contain radicals R i and R 4 which are as defined previously, it being understood that (B) can be in cyclic (Bl) and bicyclic (B'1) form if Ri represents a -C(O)-OR'4 group; Preferably, the epoxidation step iii) is carried out in water or in a mixture of (a)polar (a)protic organic solvent(s) and water; the hydrolysis of the epoxide according to route iii) can be carried out concomitantly with route ii) to generate the corresponding vicinal diol of the polymer diol(s) (B); preferably, the hydrolysis is carried out in a second step according to route iii) subsequent to route ii) using alkaline, neutral, or acidic media, preferably in acidic or basic media, using different types of catalysts, including organic bases such as amines like triethylamine, phosphines such as tributylphosphines, heteronitrogenous bases such as 1,4-diazabicyclo[2.2.2]octane (DABCO), and inorganic bases, particularly alkali or alkaline earth metal hydroxides. such as NaOH, or KOH, organometallic catalysts derived from Titanium, Aluminium, Zirconium, Bismuth, Scandium, Erbium, Cobalt, [3-cyclodextrin, enzymes such as Epoxide Hydrolases; process in which route iv) (di)hydroxylation is carried out on said polymer(s) (C) to obtain one or more mono- or dihydroxylated polymer(s), preferably dihydroxylated (B) according to the following scheme (5): Scheme 5 in which the polymers (C) are as defined above, and (B) are mono- or dihydroxylated, preferably dihydroxylated as defined above; preferably route iv) employs one or more periodate-type oxidizing agent(s) such as alkali or alkaline earth metal periodates of the sodium periodate type, oxone, peroxides, selenium derivatives, metal catalysts such as OsO4, RuO4, other ruthenium complexes such as the RuC13 / NaIO4 association, manganese derivatives such as KMnO4, manganese complexes, iron, palladium, silver complexes, organometallic catalysts being used with different types of oxidants, such as H2O2, O2 or other peroxides, or enzymes such as Rieske dexoygenases; a process in which the polymer(s) (C) can be cleaved by oxidative degradation and preferably by ozonolysis, particularly at the double bond according to route v), in a particularly organic solvent, preferably polar, more preferably protic polar such as (Ci-C4)alkanols, particularly methanol, and particularly carried out at a temperature between 0°C and solvent reflux (preferably at a temperature less than or equal to 120°C), more particularly at a temperature between 5°C and 60°C such as 50°C + / - 5°C, to give rise to the diacid compound(s) or dicarboxylate salt(s) (Dl) according to the following scheme 6: (CM1 Scheme 6 in which Ri and R4 are as defined previously, or else Ri and / or R4 represent(s) the following -X-RET pattern: | M RET and X w déiirsæ previously; R? represents a qsxstip® -C(O)-OR4 with such as defined *““A previously. polymers (C) can also be degraded by route v) in a first step by oxidants in particular alkali metal permanganates in particular KMnO4 preferably concentrated and / or by heating in a particularly organic solvent, preferably by heating the medium at a temperature between 50 °C and solvent reflux and at a temperature preferably less than or equal to 120 °C, or by ozonolysis with ozone O3, preferably with O3 in a preferably polar solvent, more preferably a polar protic solvent such as (Ci-C4)alkanols in particular methanol, and particularly carried out at a temperature between 0 °C and solvent reflux (preferably at a temperature preferably less than or equal to 120 °C), more particularly at a temperature between 5 °C and 60 °C such as 50 °C + / - 5 °C, (Dl) as well as their optical isomers and their salts in particular of alkali or alkaline earth metals;At the end of this first oxidation step, a mixture of oligomers and compounds of formula (Dl) can be obtained, and a second oxidation treatment may be carried out, preferably in an acidic medium with one or more inorganic acids, preferably using hydrogen peroxide H2O2 and an inorganic acid such as sulfuric acid H2SO4, in particular to improve the yield of obtaining compounds of formula (Dl); it being understood that:; In each of the process routes, the hydrolysis of the ester group(s) -C(O)-OR4, -C(O)-OR'4, can be carried out using strong base(s), or strong organic or inorganic acid(s) to lead to -C(O)-O M+ groups with M+ as defined above; and the crosslinked polymers of the invention (i.e. comprising one or more unit(s) selected from the units (Al) to (A15) defined in claim 2) are obtained by reacting at least one polymer al) and / or a2) as defined in any one of claims 15 to 16 with one or more crosslinking agent(s) as defined in claim 12 or 13.

19.

20. Polymer according to any one of claims 15 to 17 obtained by the process according to the preceding claim. Formula compound (Dl) as defined in claim 18, being understood that the compound of formula (Dl) is different from a) 1,4 Dimethyl 2,2,3,3-butanetetracaboxylate, b) 1,2 Diethyl, 1,1,2,2 ethanetetracarboxylate, c) 1,4 di-2-propen-l-yl 2,2,3,3 butanetetracarboxylate, d) 1,2 bis (2,2-dimethylpropyl) 1,1,2,2 ethanetetracarboxylate and e) 1,1,2,2 ethanetetracarboxylici acid 1,2-diphenyl ester; preferably (Dl) is such that R i represents a -C(O)-OR' 4 group with R 4 and R' 4 are as defined previously, preferably R4 and R'4, identical i.e. of formula (D-2), and R 4 and R' 4 represent iii) a hydrocarbon group, saturated or unsaturated, linear or branched, or cyclic, aromatic or non-aromatic, comprising from 2 to 20 carbon atoms, preferably said hydrocarbon group is saturated acyclic linear or branched, or cyclic:

21.

22.

23.

24. Composition, preferably cosmetic, comprising one or more polymer(s) selected from homopolymers a1) or copolymers a2) as defined in any one of claims 15 to 17 and 19. A process for treating keratin materials that incorporates at least one application step on keratin materials, particularly human keratin materials, in particular a) on human keratin fibers such as hair, eyelashes, and / or eyebrows or |3) on human skin a) one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) comprising several repeating units selected from the units (A) as defined in any one of claims 1, 4 to 11, 15 to 17 and 19 and optionally ii) at least one unit selected from the units (A1) to (A15) or mixtures thereof as defined in claim 3, and optionally b) in the presence of one or more crosslinking agent(s) as defined in claim 12 or 13. A process for treating keratinous materials that implements at least one application step on keratinous materials, particularly human, in particular a) on human keratinous fibers such as hair, eyelashes, and / or eyebrows or |3) on human skin of the composition according to claim 13, or a composition according to claim 21. Kit comprising at least two separate compartments; preferably two separate compartments, the first compartment comprising a) one or more homopolymer(s) a1) and / or one or more copolymer(s) a2) as defined in any one of claims 1, 4 to 11, 15 to 17 and 19 or a composition containing them as defined in claim 14 or 21, the or said homopolymer(s) al) and / or copolymer(s) a2) comprising i) several repeating units selected from the units (A) and optionally ii) at least one unit selected from the units (Al) to (A15) or mixtures thereof, as defined in claim 3, and the second compartment comprising b) at least one crosslinker as defined in claim 12 or 13, or a composition of said crosslinker(s).

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