Homomorphisms of homotopy coalgebras
type: Item
instance of: scholarly article
title: Homomorphisms of homotopy coalgebras
zbMATH Open document ID: 1089.55005
author: Carmen Elvira
author: Jose L. Navarro
published in: Topology and its Applications
publication date: 2006-03-20T00:00:00Z
review text: The concept of higher order homotopy coalgebra was introduced by Arkowitz and Golasinski. The authors consider a special case of it to define \(WHC_k\)-spaces and \(HC_k\)-spaces as collections of spaces between co-\(H\)-spaces and suspensions, which dualizes Stasheff's theory of \(A_k\)-spaces. By definition, \(WHC_k\)-spaces can be considered as the duals of \(A_{k+1}\)-spaces, and we have coprojective \(r\)-spaces \(C_r(X)\) \((1\leq r \leq k+1)\) for any \(WHC_k\)-space \(X\). The authors also extend the Berstein-Hilton theorems which deal with the primitive homotopy type of a suspension and the class of a suspension map.
reviewed by: Yutaka Hemmi
Mathematics Subject Classification ID: 55P40
Mathematics Subject Classification ID: 55P45
Mathematics Subject Classification ID: 55P30
zbMATH DE Number: 5013527
zbMATH Keywords: co-H-space
zbMATH Keywords: homotopy coalgebra
zbMATH Keywords: suspension
MaRDI profile type: Publication
full work available at URL: j.topol.2005.03.008
OpenAlex ID: W2024022485
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DOI: 10.1016/J.TOPOL.2005.03.008
description: scientific article; zbMATH DE number 5013527