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

Ramon J Flores

Algebraic & Geometric Topology 5 (2005) 1141–1172

arXiv: math.AT/0510378

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  B¯G for proper G–bundles has the homotopy type of the W–nullification of  BG. We use this to deduce some results concerning  B¯G and in some cases where there is a good model for  B¯G we obtain information about the  Bp–nullification of  BG.

Keywords
(co)localization, finite groups, Eilenberg–MacLane spaces
Mathematical Subject Classification 2000
Primary: 55P20
Secondary: 55P60
References
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Publication
Received: 25 November 2004
Revised: 27 August 2005
Accepted: 29 August 2005
Published: 18 September 2005
Authors
Ramon J Flores
Departamento de Matemáticas
Universidad Autónoma de Barcelona
E–08193 Bellaterra
Spain
http://mat.uab.es/~ramonj/