Abstract
We discuss conditions under which the universal proper G-CW-complex E G can be chosen to be finite dimensional. The methods we use stem from a general construction introduced in [9], involving spaces parameterized by a partially ordered set. In particular we present a construction, which turns a G-CW-complex X in a canonical way into a proper G-CW-complex Pr(X) of the same homotopy type, with control on the dimension of the new space.
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Mislin, G. (2001). On the classifying space for proper actions. In: Aguadé, J., Broto, C., Casacuberta, C. (eds) Cohomological Methods in Homotopy Theory. Progress in Mathematics, vol 196. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8312-2_17
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DOI: https://doi.org/10.1007/978-3-0348-8312-2_17
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9513-2
Online ISBN: 978-3-0348-8312-2
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