302 results about "Fiber bundle" patented technology

In mathematics, and particularly topology, a fiber bundle (or, in British English, fibre bundle) is a space that is locally a product space, but globally may have a different topological structure. Specifically, the similarity between a space E and a product space B×F is defined using a continuous surjective map π:E→B that in small regions of E behaves just like a projection from corresponding regions of B×F to B. The map π, called the projection or submersion of the bundle, is regarded as part of the structure of the bundle.