A connection between cellularization for groups and spaces via two-complexes

José L. Rodríguez, Jérôme Scherer

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

Let M denote a two-dimensional Moore space (so H2 (M ; Z) = 0), with fundamental group G. The M-cellular spaces are those one can build from M by using wedges, push-outs, and telescopes (and hence all pointed homotopy colimits). The issue we address here is the characterization of the class of M-cellular spaces by means of algebraic properties derived from the group G. We show that the cellular type of the fundamental group and homological information does not suffice, and one is forced to study a certain universal extension. © 2007 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1664-1673
JournalJournal of Pure and Applied Algebra
Volume212
Issue number7
DOIs
Publication statusPublished - 1 Jul 2008

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