An alternative proof of Cauty-Geoghegan's characterization of ANRs
type: Item
instance of: scholarly article
title: An alternative proof of Cauty-Geoghegan's characterization of ANRs
zbMATH Open document ID: 1004.54016
DOI: 10.1016/S0166-8641(01)00158-4
author: K. Sakai
published in: Topology and its Applications
publication date: 2002-08-22T00:00:00Z
review text: Using the mapping cylinder technique the author gives an alternative proof of the theorem that a metrizable space \(X\) is an ANR iff every open set in \(X\) has the homotopy type of a CW-complex.
reviewed by: H. Patkowska
Mathematics Subject Classification ID: 54C55
Mathematics Subject Classification ID: 54F65
Mathematics Subject Classification ID: 55M15
Mathematics Subject Classification ID: 57Q05
zbMATH DE Number: 1787574
MaRDI profile type: Publication
cites work: Une caractérisation des rétractes absolus de voisinage
cites work: Homotopy, simple homotopy and compacta
cites work: Q3894661
cites work: Some theorems on absolute neighborhood retracts
cites work: Q5607712
description: scientific article; zbMATH DE number 1787574