Orbit spaces of finite transformation groups. II
type: Item
instance of: scholarly article
title: Orbit spaces of finite transformation groups. II
zbMATH Open document ID: 0067.15403
DOI: 10.1215/S0012-7094-55-02204-3
author: E. E. Floyd
published in: Duke Mathematical Journal
publication date: 1955-01-01T00:00:00Z
review text: From the author's introduction: In continuing our work of a previous paper [Part I, Duke Math. J. 20, 563--567 (1953; Zbl 0053.30101)], we prove theorems of the following type. Let \(X\) be a finite-dimensional compact metric space, let \(G\) be a finite transformation group on \(X\), and let \(Y\) be an orbit space for \((X,G)\). If \(X\) is either (i) homologically trivial over \(K\) where \(K\) is a compact abelian group, or (ii) an absolute neighborhood retract, or (iii) an absolute retract, so also is \(Y\).
Mathematics Subject Classification ID: 54E45
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 54C55
zbMATH DE Number: 3114018
zbMATH Keywords: orbit spaces
zbMATH Keywords: finite transformation groups
zbMATH Keywords: absolute neighborhood retract
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3114018