fiber bundle

fiber bundle
A topological space that, if one examines only a small part of it at a time, looks consistently like some product space

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  • Fiber bundle — In mathematics, in particular in topology, a fiber bundle (or fibre bundle) is a space which looks locally like a product space. It may have a different global topological structure in that the space as a whole may not be homeomorphic to a… …   Wikipedia

  • fiber bundle — skaidulų grįžtė statusas T sritis automatika atitikmenys: angl. fiber bundle; multiple fiber vok. Faserbündel, n rus. волоконный жгут, m; пучок волокон, m pranc. faisceau des fibres, m …   Automatikos terminų žodynas

  • Fiber bundle construction theorem — In mathematics, the fiber bundle construction theorem is a theorem which constructs a fiber bundle from a given base space, fiber and a suitable set of transition functions. The theorem also gives conditions under which two such bundles are… …   Wikipedia

  • fiber bundle — noun a bundle of fibers (especially nerve fibers) • Syn: ↑fibre bundle, ↑fascicle, ↑fasciculus • Hypernyms: ↑nervous tissue, ↑nerve tissue • Hyponyms: ↑fornix, ↑ …   Useful english dictionary

  • fiber bundle — Optics. a flexible bundle of optical glass that transmits images. * * * …   Universalium

  • Fiber bundle — A&V A group of parallel optic fibers contained within a common jacket. A bundle may contain from just a few to several hundred fibers …   Audio and video glossary

  • Section (fiber bundle) — In the mathematical field of topology, a section (or cross section) of a fiber bundle, pi; : E rarr; B , over a topological space, B , is a continuous map, f : B rarr; E , such that pi; ( f ( x ))= x for all x in B .A section is a certain… …   Wikipedia

  • glass fiber bundle — stiklo skaidulų grįžtė statusas T sritis automatika atitikmenys: angl. glass fiber bundle vok. Glasfaserbündel, n rus. пучок стеклянных волокон, m; стекловолоконный жгут, m pranc. faisceau des fibres de verre, m …   Automatikos terminų žodynas

  • Bundle — may refer to:In mathematics: * Fiber bundle, in particular in topology, a space that looks locally like a product space *Bundle (mathematics), a generalization of a fiber bundle dropping the condition of a local product structureIn medicine: *… …   Wikipedia

  • Bundle map — In mathematics, a bundle map (or bundle morphism) is a morphism in the category of fiber bundles. There are two distinct, but closely related, notions of bundle map, depending on whether the fiber bundles in question have a common base space.… …   Wikipedia

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