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arxiv: 0807.3357 · v3 · submitted 2008-07-21 · 🧮 math.AT · math.RT

Equivariant CW-Complexes and the Orbit Category

classification 🧮 math.AT math.RT
keywords categoryg-cworbitadmitsapplicationcomplexcomplexescw-complexes
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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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