Equivariant CW-Complexes and the Orbit Category
Algebraic Topology
2010-02-09 v3 Representation Theory
Abstract
We give a general framework for studying G-CW complexes via the orbit category. As an application we show that the symmetric group G=S_5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy subgroups.
Keywords
Cite
@article{arxiv.0807.3357,
title = {Equivariant CW-Complexes and the Orbit Category},
author = {Ian Hambleton and Semra Pamuk and Ergun Yalcin},
journal= {arXiv preprint arXiv:0807.3357},
year = {2010}
}
Comments
48 pages. The results are unchanged, but revisions to the exposition have been made following a referee's report