Extensorial properties of orbit spaces of proper group actions
type: Item
instance of: scholarly article
title: Extensorial properties of orbit spaces of proper group actions
zbMATH Open document ID: 0942.54011
DOI: 10.1016/S0166-8641(99)00039-5
author: Sergey A. Antonyan
published in: Topology and its Applications
publication date: 2000-08-17T00:00:00Z
review text: The author studies some extensorial and retraction properties for several classes of topological \(G\)-spaces. Thus, for a compact group \(G\), he denotes by \(G\)-A(N)E the class of all \(G\)-equivariant absolute (neighborhood) extensors for all metrizable \(G\)-spaces (this is a straightforward extension to the case of \(G\)-spaces of the ordinary A(N)E spaces. A main result is the following: Let \(G\) be a compact group and suppose that \(X\) is a \(G\)-A(N)E space such that all all \(G\)-orbits in \(X\) are metric. Then the orbit space \(X/G\) is an A(N)E space. The author also extends this sort of results to arbitrary locally compact almost connected proper group actions.
Mathematics Subject Classification ID: 54C15
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 54B15
zbMATH DE Number: 1367553
zbMATH Keywords: proper \(G\)-space
zbMATH Keywords: orbit space
reviewed by: Salvador Hernández
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1367553