A dilation device (206) for an intra-body lumen, for example, a urethra partially occluded by an enlarged prostate in the form of a resilient curved body configured to be implanted in a cut around the lumen, and a method for dilating such a lumen by implanting a dilation device in a cut around the outside of the lumen. Also, a deployment system (300) including a delivery device for the implant, and a device for dilating the lumen before and while the cut is being made, and a method of using the implant and the deployment system. The implant may be formed of a strip or a coiled wire. The cut may be performed in part by the implant. The cut may be performed by a sharp edge, and/or by application of electrical current to the area being cut, or by a piezoelectric transducer.