fiber bundle

Meaning

Noun

• A topological space E with a base space B and a fiber space F such that any point x ∈ B has a neighborhood N that is homeomorphic to the product space B × F (that is, the space is locally the product space B × F, although its global structure can be quite different).

Related

Narrower meaning words

• vector bundle

Broader meaning words

• bundle

Origin

• 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.