Equivariant CW-Complexes and the Orbit Category

Details Equivariant CW-Complexes and the Orbit Category Equivariant CW-Complexes and the Orbit Category

2008-07-21

arxiv.org/abs/0807.3357v3

Mathematics

Algebraic Topology

48 pages. The results are unchanged, but revisions to the exposition have been made following a referee's report

Scientific paper

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.

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