"fiber bundle" meaning in English

See fiber bundle in All languages combined, or Wiktionary

Noun

Forms: fiber bundles [plural], fibre bundle [alternative]
Etymology: (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. Etymology templates: {{sense|mathematics}} (mathematics): Head templates: {{en-noun}} fiber bundle (plural fiber bundles)
  1. (botany) Synonym of vascular bundle. Synonyms: vascular bundle [synonym, synonym-of]
    Sense id: en-fiber_bundle-en-noun-z7j-eTTf Categories (other): Botany, English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Catalan translations, Terms with Finnish translations, Terms with German translations, Terms with Korean translations, Terms with Portuguese translations Disambiguation of English entries with incorrect language header: 67 33 Disambiguation of Entries with translation boxes: 72 28 Disambiguation of Pages with 1 entry: 69 31 Disambiguation of Pages with entries: 72 28 Disambiguation of Terms with Catalan translations: 74 26 Disambiguation of Terms with Finnish translations: 76 24 Disambiguation of Terms with German translations: 73 27 Disambiguation of Terms with Korean translations: 74 26 Disambiguation of Terms with Portuguese translations: 69 31 Topics: biology, botany, natural-sciences
  2. (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 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). Tags: US Hypernyms (topological space): bundle Hyponyms (topological space): vector bundle Meronyms (topological space): base space, fiber, cross section Translations (topological space): fibrat [masculine] (Catalan), kuitukimppu (Finnish), Faserbündel [neuter] (German), 올다발 (oldabal) (Korean), fibrado [masculine] (Portuguese)
    Sense id: en-fiber_bundle-en-noun-vgMEUgs5 Categories (other): Category theory, Topology Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences, topology Disambiguation of 'topological space': 8 92 Disambiguation of 'topological space': 8 92 Disambiguation of 'topological space': 8 92 Disambiguation of 'topological space': 8 92
The following are not (yet) sense-disambiguated
Related terms: associated bundle, base space, fiber space, fibration, principal bundle, structure group, total space, trivial bundle

Inflected forms

Alternative forms

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}

Download raw JSONL data for fiber bundle meaning in English (6.9kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-01-16 from the enwiktionary dump dated 2026-01-01 using wiktextract (d1270d2 and 9905b1f). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.