A pullback theorem for cofibrations
type: Item
instance of: scholarly article
title: A pullback theorem for cofibrations
zbMATH Open document ID: 0617.55002
DOI: 10.1007/BF01165895
author: R. W. Kieboom
published in: Manuscripta Mathematica
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155228
review text: The pullback theorem in this note is an extension of a well-known theorem of A. Strøm which states: if \(p: E\to B\) is a fibration and \(A\subset B\) is a closed cofibration, then \(p^{-1}(A)\subset E\) is a closed cofibration. An application on locally equiconnected spaces, and a discussion of the dual problem are also given.
Mathematics Subject Classification ID: 55P05
Mathematics Subject Classification ID: 55R05
Mathematics Subject Classification ID: 54F99
zbMATH DE Number: 4000983
zbMATH Keywords: pullback
zbMATH Keywords: fibration
zbMATH Keywords: closed cofibration
zbMATH Keywords: locally equiconnected spaces
MaRDI profile type: Publication
cites work: Homotopietheorie
cites work: Notes on Toppair, Top* and Regular Fibrations, Coglueing and Duality
cites work: Note on Attaching Dold Fibrations
cites work: A pullback theorem for locally-equiconnected spaces
cites work: Note on Cofibrations II.
cites work: The homotopy category is a homotopy category
cites work: Q5522742
cites work: A Note on Paired Fibrations
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description: scientific article; zbMATH DE number 4000983