Moore spaces in proper homotopy
type: Item
instance of: scholarly article
title: Moore spaces in proper homotopy
zbMATH Open document ID: 0867.55012
author: Yanyan Li
published in: Tsukuba Journal of Mathematics
publication date: 1996-08-29T00:00:00Z
review text: In standard homotopy theory, Moore spaces exist and are unique. In proper homotopy, the existence of the proper analogues of Moore spaces are defined using, as homology, that with values in the category (tow-Ab, Ab) of towers of abelian groups given for instance by using the Edwards-Hastings embedding of the proper category into (two-Top, Top) and then using an ordinary homology functor. In this paper the authors show that proper Moore spaces exist, but need not be unique. The non-uniqueness results follow from the fact that the abelian category (tow-Ab, Ab) used has projective dimension two. Examples of non properly equivalent proper Moore spaces for the same tower of abelian groups are given.
Mathematics Subject Classification ID: 55P99
Mathematics Subject Classification ID: 54C10
zbMATH DE Number: 895939
zbMATH Keywords: Moore spaces
zbMATH Keywords: proper homotopy
zbMATH Keywords: homology functor
reviewed by: Timothy Porter
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496162871
OpenAlex ID: W338447775
DOI: 10.21099/TKBJM/1496162871
description: scientific article; zbMATH DE number 895939