A connection between cellularization for groups and spaces via two-complexes |
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Authors: | José L Rodríguez |
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Institution: | a Área de Geometría y Topología, Universidad de Almería, E-04120 Almería, Spain b Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain |
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Abstract: | 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. |
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Keywords: | Primary 55P60 secondary 20K45 55P20 |
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