Algebraic and Geometric Topology 5 (2005), paper no. 46, pages 1141-1172.

Nullification functors and the homotopy type of the classifying space for proper bundles

Ramon J. Flores

Abstract. Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space PBG for proper G-bundles has the homotopy type of the W-nullification of BG. We use this to deduce some results concerning PBG and in some cases where there is a good model for PBG we obtain information about the BZ/p-nullification of BG.

Keywords. (Co)localization, finite groups, Eilenberg-MacLane spaces

AMS subject classification. Primary: 55P20. Secondary: 55P80.

E-print: arXiv:math.AT/0510378

DOI: 10.2140/agt.2005.5.1141

Submitted: 25 November 2004. (Revised: 27 August 2005.) Accepted: 29 August 2005. Published: 18 September 2005.

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Ramon J. Flores
Departamento de Matematicas, Universidad Autonoma de Barcelona
E-08193 Bellaterra, Spain

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