G-fibration

id: g-fibration-286-10466004
title: G-fibration
text: In algebraic topology, a G-fibration or principal fibration is a generalization of a principal G-bundle, just as a fibration is a generalization of a fiber bundle. By definition, given a topological monoid G, a G-fibration is a fibration p: P→B together with a continuous right monoid action P × G → P such that (1) p = p for all x in P and g in G. (2) For each x in P, the map G → p − 1 , g ↦ x g is a weak equivalence. A principal G-bundle is a prototypical example of a G-fibration. Another exampl
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/G-fibration
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date modified: 2019-09-30T03:22:23Z
main entity: {"identifier":"Q25100794","url":"https://www.wikidata.org/entity/Q25100794"}
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