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

• Autores: José Luis Rodríguez Blancas , Jérôme Scherer
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 212, Nº 7, 2008, págs. 1664-1673
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2007.11.002
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• Resumen

  • Let M denote a two-dimensional Moore space (so ), 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.