The homogeneous space \(G/H\) as an equivariant fibrant space
type: Item
instance of: scholarly article
title: The homogeneous space \(G/H\) as an equivariant fibrant space
zbMATH Open document ID: 1202.54014
author: Alexander Bykov
published in: Topology and its Applications
publication date: 2010-10-29T00:00:00Z
review text: The author continues his work on equivariant fibrant spaces (cf. [Glas. Mat., III. Ser. 40, No.~2, 323--331 (2005; Zbl 1087.54010)]). In particular generalizing an earlier result he proves that if \(H\) is a closed subgroup of a compact metrizable group \(G,\) then the homogeneous space \(G/H\) is a \(G\)-fibrant space.
Mathematics Subject Classification ID: 54C55
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 54B15
Mathematics Subject Classification ID: 55R91
zbMATH DE Number: 5808684
zbMATH Keywords: fibration
zbMATH Keywords: fibrant space
zbMATH Keywords: compact metrizable group
zbMATH Keywords: Lie group
zbMATH Keywords: \(G\)-ANR
reviewed by: Hans Peter Künzi
MaRDI profile type: Publication
full work available at URL: j.topol.2010.07.013
OpenAlex ID: W1964009123
cites work: Q4748843
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cites work: Equivariant fibrant spaces
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cites work: The classification of 𝐺-spaces
cites work: Homotopical algebra
DOI: 10.1016/J.TOPOL.2010.07.013
description: scientific article; zbMATH DE number 5808684