arXiv Analytics

Sign in

arXiv:math/0510378 [math.AT]AbstractReferencesReviewsResources

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

Ramon J. Flores

Published 2005-10-18Version 1

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.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-46.abs.html
Journal: Algebr. Geom. Topol. 5 (2005) 1141-1172
Categories: math.AT
Subjects: 55P20, 55P80
Related articles: Most relevant | Search more
arXiv:1508.05599 [math.AT] (Published 2015-08-23)
The homotopy type of the Baily-Borel and allied compactifications
arXiv:1807.01931 [math.AT] (Published 2018-07-05)
Homotopy types of $SU(n)$-gauge groups over non-spin 4-manifolds
arXiv:1709.09211 [math.AT] (Published 2017-09-26)
Homotopy type of planar continua

Links

Toolbox