How to pronounce “fiber bundle”

Meaning

• [Noun]
• (botany) Synonym of vascular bundle.
• (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
• π
• {\displaystyle \pi }
• from E to B (called the projection or submersion), such that every point of B has a neighborhood U with
• π
• −
• 1
• (
• U
• )
• {\displaystyle \pi ^{-1}(U)}
• homeomorphic to the product space U
• ×
• {\displaystyle \times }
• F (that is, E looks locally the same as the product space B
• ×
• {\displaystyle \times }
• F, although its global structure may be quite different).

Practice Nearby Words

fibre bundle, bundle, vector bundle, base, seifert fiber space, seifert fibered space, seifert fibre space, subbundle, tangent bundle, fiber, fibration, fibering, eigenbundle, orbifold, product topology, bibundle, fibre, factor space, handle, fundamental group, direct product, microbundle, basis, frobenioid, topological field, relative topology, bifundamental, standard topology, k-theory, leafspace, topological vector space, covering, biquotient, antispace, cofibration, cofiber, neighborhood, topological space, homotopy, h-space, path, fano, polyfold, cofinite topology, suspension, foliation, open book decomposition, bispace, treespace, algebraic fundamental group, covering space, baire space, dual space, bornology, monoidal category, compactification, handlebody, subbase, eilenberg-maclane space, manifold, cycle group, entourage, algebraic topology, tits building, topology, graph, flag complex, topos, algebra over a field, vector space, cover, brunnian braid, classifying space, grothendieck topology, open set, presheaf, discrete topology, final topology, site, wedge sum, tensor product, initial topology, profinite group, trivial topology, sheaf, full functor, solid torus, subtopology, pretzel link, ball, braid, chern class, distance function, cycle, field theory, underlying set, teichmüller space, bitopology, gerbe, zariski topology

Similar Sounds

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