fiber bundle
noun
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- (American spelling, topology, category theory) An abstract object in topology where copies of one object are "attached" to every point of another, as hairs or fibers are attached to a hairbrush. Formally, a topological space E (called the total space), together with a topological space B (called the base space), a topological space F (called the fiber), and surjective map \pi from E to B (called the projection or submersion), such that every point of B has a neighborhood U with \pi^{-1}(U) homeomorphic to the product space U \times F (that is, E looks locally the same as the product space B \times F, although its global structure may be quite different).
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Faserbündel
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