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

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

2005-10-18

arxiv.org/abs/math/0510378v1

Algebr. Geom. Topol. 5 (2005) 1141-1172

Mathematics

Algebraic Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-46.abs.html

Scientific paper

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.

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