The Type of the Classifying Space of a Topological Group for the Family of Compact Subgroups
نویسنده
چکیده
Let G be a locally compact topological group. We investigate the type of the classifying space of G for the family of compact subgroups. We give criteria for this space to have a d-dimensional G-CW -model, a finite G-CW -model or a G-CW -model of finite type. Essentially we reduce these questions to discrete groups and to the homological algebra of the orbit category of discrete groups with respect to certain families of subgroups.
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