Equivariant CW-complexes and the orbit category

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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 D S5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy subgroups. © Swiss Mathematical Society.

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Hambleton, I., Pamuk, S., & Yalçin, E. (2013). Equivariant CW-complexes and the orbit category. Commentarii Mathematici Helvetici, 88(2), 369–425. https://doi.org/10.4171/CMH/289

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