fiber bundle
fiber bundle noun: synonym of vascular bundle.
Noun
fiber bundle (plural fiber bundles)
- Synonym of vascular bundle.
- Synonyms:
- vascular bundle
- 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 from E to B (called the projection or submersion), such that every point of B has a neighborhood U with π⁻¹(U) homeomorphic to the product space U × F (that is, E looks locally the same as the product space B × F, although its global structure may be quite different).
- A Möbius strip is a fiber bundle which looks locally (i.e., over a connected proper subset of its base space) like the corresponding part of a cylinder S¹#92;times#91;0,1#93; (a Möbius strip and a cylinder have isomorphic base spaces). A Klein bottle is a fiber bundle which looks locally like the...
- In general, a fiber bundle consists of a set of mutually disjoint fibers “over” a base space, which indexes the fibers; there is a copy of some fiber on top of, or projecting (“canonically”) onto each point of the base space.
fiber bundle meaning in Tamil
fiber bundle in Tamil
- இழைக்கற்றை
Examples of fiber bundle in a sentence
- Trautman recognized that interaction potentials can be represented by connections on principal fiber bundles.1995, Sunny Y. Auyang, How is Quantum Field Theory Possible?, Oxford University Press, page 214:
- Finding the right notion of fiber bundle for diffeology [Igl85] has been a question raised by the study of the irrational torus T#95;#92;alpha [Dolg85].2013, Patrick Iglesias-Zemmour, Diffeology, American Mathematical Society, page 229:
Synonyms of fiber bundle
Forms of fiber bundle
| plural | fiber bundles |
|---|---|
| alternative form | fibre bundle |
Origin of fiber bundle
(mathematics): Coined as fibre bundle by American mathematician Norman Steenrod in 1951, The Topology of Fibre Bundles. The related usages fiber and fiber space probably derive (as calques respectively of German Faser and gefaserter Räume) from 1933, Herbert Seifert, “Topologie dreidimensionaler gefaserter Räume,” Acta Mathematica, 60, (1933), 147-238.
Questions about fiber bundle
- What does fiber bundle mean?
- Fiber bundle means synonym of vascular bundle.
- What is fiber bundle in Tamil?
- Fiber bundle in Tamil is இழைக்கற்றை. See Fiber bundle meaning in Tamil.
- How do you use fiber bundle in a sentence?
- Trautman recognized that interaction potentials can be represented by connections on principal fiber bundles.
- What part of speech is fiber bundle?
- Fiber bundle is a noun.
- What is the plural of fiber bundle?
- The plural of fiber bundle is fiber bundles.
Words near fiber bundle in the dictionary
Source and license
Adapted from Wiktionary: fiber bundle (page history and authors); fiber bundle (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “fiber bundle.” Word.ws, https://word.ws/fiber_bundle. Based on Wiktionary, CC BY-SA 4.0.