Fiber-homotopy equivalence
id:
fiber-homotopy-equivalence-214-1910261
title:
Fiber-homotopy equivalence
text:
In algebraic topology, a fiber-homotopy equivalence is a map over a space B that has homotopy inverse over B It is a relative analog of a homotopy equivalence between spaces. Given maps p: D → B, q: E → B, if ƒ: D → E is a fiber-homotopy equivalence, then for any b in B the restriction
- f : p − 1 → q − 1 is a homotopy equivalence. If p, q are fibrations, this is always the case for homotopy equivalences by the next proposition.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Fiber-homotopy_equivalence
date created:
2015-12-15T05:46:59Z
date modified:
2024-09-12T12:25:35Z
main entity:
{"identifier":"Q97360379","url":"https://www.wikidata.org/entity/Q97360379"}
image:
fields total:
13
integrity:
14