On maps into a co-\(H\)-space
type: Item
instance of: scholarly article
title: On maps into a co-\(H\)-space
zbMATH Open document ID: 0921.55009
author: John R. Klein
author: Marek Golasiński
published in: Hiroshima Mathematical Journal
publication date: 1999-04-07T00:00:00Z
review text: Let \(f:X\to Y\) be a based map of a CW-complex \(X\) into a co-\(H\)-space \(Y\). The authors prove that \(X\) admits a co-\(H\)-structure such that \(f\) is a co-\(H\)-map provided \(\dim X\leq\text{conn} f+ \min\{\text{conn} X, \text{conn} Y\}\). Given a map \(f:X\to Y\) between 1-connected co-\(H\)-spaces, a similar condition ensures that it is a co-\(H\)-map. Finally the authors show that a co-\(H\)-structure on \(X\) determines and is determined by co-\(H\)-structures on the skeleta \(X^{(n)}\) or on the stages \(X_n\) of the homology decomposition of \(X\).
reviewed by: Rainer Vogt
Mathematics Subject Classification ID: 55P45
zbMATH DE Number: 1216685
zbMATH Keywords: co-\(H\)-map
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206126763
OpenAlex ID: W1901979785
DOI: 10.32917/HMJ/1206126763
description: scientific article; zbMATH DE number 1216685