Excisive triads and double mapping cylinders
type: Item
instance of: scholarly article
title: Excisive triads and double mapping cylinders
zbMATH Open document ID: 0923.55012
DOI: 10.1016/S0166-8641(97)00281-2
published in: Topology and its Applications
publication date: 1999-10-25T00:00:00Z
review text: Given a topological space \(X=X_0\cup X_1\), there is a quotient map \(\pi:M\to X\), where \(M\) denotes the mapping cylinder of the cotriad \(X_0 \leftarrow X_2=X_0\cap X_1\rightarrow X_1\). In this paper, the author shows that if \((X;X_0,X_1)\) is excisive, then \(\pi\) is a weak equivalence. Using this, he obtains the correct proof of a theorem on maps of excisive triads due to J. P. May.
Mathematics Subject Classification ID: 55Q05
Mathematics Subject Classification ID: 55P10
zbMATH DE Number: 1317248
zbMATH Keywords: quasifibration
zbMATH Keywords: excisive triad
zbMATH Keywords: double mapping cylinder
zbMATH Keywords: weak equivalence
author: P. J. Witbooi
reviewed by: Kohhei Yamaguchi
MaRDI profile type: Publication
full work available at URL: s0166-8641(97)00281-2
OpenAlex ID: W2044163421
description: scientific article; zbMATH DE number 1317248