English

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

Algebraic Topology 2014-10-01 v1

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

Cite

@article{arxiv.math/0510378,
  title  = {Nullification functors and the homotopy type of the classifying space for proper bundles},
  author = {Ramon J. Flores},
  journal= {arXiv preprint arXiv:math/0510378},
  year   = {2014}
}

Comments

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