Equivariant strong shape
type: Item
instance of: scholarly article
title: Equivariant strong shape
zbMATH Open document ID: 1121.54036
author: Alexander Bykov
author: Marcelino Texis
published in: Topology and its Applications
publication date: 2007-06-26T00:00:00Z
review text: Let \(G\) be a compact group. The authors construct the equivariant strong shape category for compact metrizable \(G\)-spaces. They show that if \(f:X\to Y\) is a strong shape equivalence of compact metrizable \(G\)-spaces, then the induced map \(f/G:X/G\to Y/G\) is a strong shape equivalence of the orbit spaces.
reviewed by: Robert Cauty
Mathematics Subject Classification ID: 54C56
Mathematics Subject Classification ID: 54C55
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 54B15
zbMATH DE Number: 5167600
zbMATH Keywords: strong shape
zbMATH Keywords: G-ANR
zbMATH Keywords: fibrant space
MaRDI profile type: Publication
full work available at URL: j.topol.2006.10.015
OpenAlex ID: W2089445433
cites work: Mapping spaces are equivariant absolute extensors
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cites work: Equivariant shape
cites work: Q5658847
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cites work: Shape fibrations and strong shape theory
cites work: Function spaces and shape theories
cites work: Q4160072
DOI: 10.1016/J.TOPOL.2006.10.015
description: scientific article; zbMATH DE number 5167600