Constructions of E_{vc} and E_{fbc} for groups acting on CAT(0) spaces
Algebraic Topology
2014-10-01 v1
Abstract
If G is a group acting properly by semisimple isometries on a proper CAT(0) space X, then we build models for the classifying spaces E_{vc} and E_{fbc} under the additional assumption that the action of G has a well-behaved collection of axes in X. (This hypothesis is described in the paper.) We conjecture that the latter hypothesis is satisfied in a large range of cases. Our classifying spaces resemble those created by Connolly, Fehrman, and Hartglass for crystallographic groups G.
Cite
@article{arxiv.0902.1355,
title = {Constructions of E_{vc} and E_{fbc} for groups acting on CAT(0) spaces},
author = {Daniel Farley},
journal= {arXiv preprint arXiv:0902.1355},
year = {2014}
}
Comments
16 pages, no figures