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

Flores, Ramon J

doi:10.2140/agt.2005.5.1141

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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

DOI: 10.2140/agt.2005.5.1141

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 $\underline{B} G$ for proper $G$ –bundles has the homotopy type of the $W$ –nullification of $B G$ . We use this to deduce some results concerning $\underline{B} G$ and in some cases where there is a good model for $\underline{B} G$ we obtain information about the $B ℤ ∕ p$ –nullification of $B G$ .

Keywords

(co)localization, finite groups, Eilenberg–MacLane spaces

Mathematical Subject Classification 2000

Primary: 55P20

Secondary: 55P60

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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/

Volume 5, issue 3 (2005)