Universal free \(G\)-spaces
type: Item
instance of: scholarly article
title: Universal free \(G\)-spaces
zbMATH Open document ID: 1194.54052
author: Natella Antonyan
published in: Topology and its Applications
publication date: 2010-05-19T00:00:00Z
review text: For a compact Lie group \(G\) the author shows the existence of a universal \(G\)-space in the class of all paracompact (respectively metrizable, and seperable metrizable) free \(G\)-spaces. The space is the product of Milnor's classifying bundle space for G and a universal space for the respective spaces without action. She also shows that such a universal space cannot be compact for the cyclic group \(G\) of order 2.
reviewed by: Herbert Abels
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 55R35
zbMATH DE Number: 5710120
zbMATH Keywords: universal free \(G\)-space
zbMATH Keywords: join
zbMATH Keywords: orbit space
zbMATH Keywords: cross-section
MaRDI profile type: Publication
full work available at URL: j.topol.2009.03.055
OpenAlex ID: W2015322248
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DOI: 10.1016/J.TOPOL.2009.03.055
description: scientific article; zbMATH DE number 5710120