Meaning

2 senses
  1. Synonym of vascular bundle.

    a bundle of fibers (especially nerve fibers)

  2. (US)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).

    Faserbündel

Translations

2 languages
Deutsch
By meaning 1
topological space:

Origin

(mathematics): Coined as fibre bundle by American mathematician Norman Steenrod in 1951, T

(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.

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Forms

plural: fiber bundles

Synonyms

4 synonyms
Close in meaning

Word family

1 related words
Relatedfibration

See also

neighbours in the dictionary
fiber bundle — meaning, examples, forms, synonyms | Krumeto