Cell-like maps and aspherical compacta
type: Item
instance of: scholarly article
title: Cell-like maps and aspherical compacta
zbMATH Open document ID: 0859.54021
published in: Illinois Journal of Mathematics
publication date: 1996-07-08T00:00:00Z
review text: The first author presented a class of compacta on which cell-like maps cannot raise dimension [Topology Appl. 41, 247-254 (1991; Zbl 0772.54026)]. That class is expanded in the present paper -- the authors prove that all compact metric spaces contain compacta of codimension one on which cell-like maps do not raise dimension.
Mathematics Subject Classification ID: 54F45
Mathematics Subject Classification ID: 55M10
Mathematics Subject Classification ID: 57P99
zbMATH DE Number: 878729
zbMATH Keywords: dimension raising maps
zbMATH Keywords: cell-like mapping problem
zbMATH Keywords: aspherical compacta
author: Robert J. Daverman
author: Alexander Dranishnikov
reviewed by: Dušan Repovš
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 878729