Volume 5, issue 3 (2005)

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

Keywords
(co)localization, finite groups, Eilenberg–MacLane spaces
Primary: 55P20
Secondary: 55P60