Simple-homotopy equivalence

id: simple-homotopy-equivalence-300-14457346
title: Simple-homotopy equivalence
text: In mathematics, particularly the area of topology, a simple-homotopy equivalence is a refinement of the concept of homotopy equivalence. Two CW-complexes are simple-homotopy equivalent if they are related by a sequence of collapses and expansions, and a homotopy equivalence is a simple homotopy equivalence if it is homotopic to such a map. The obstruction to a homotopy equivalence being a simple homotopy equivalence is the Whitehead torsion, τ . A homotopy theory that studies simple-homotopy typ
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category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Simple-homotopy_equivalence
date created:
date modified: 2022-07-29T09:04:36Z
main entity: {"identifier":"Q7520625","url":"https://www.wikidata.org/entity/Q7520625"}
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fields total: 13
integrity: 13

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