“The type of the classifying space for a family of subgroups” by
نویسنده
چکیده
Abstract: The classifying space E(Γ,F) for a family F of subgroups of a group Γ is defined up to Γ-homotopy as a Γ-CW -complex E(Γ,F) such that E(Γ,F) is contractible if H belongs to F and is empty otherwise. We investigate the question whether there is a finite-dimensional Γ-CW -model, a finite Γ-CW -model or a Γ-CW -model of finite type for E(Γ,F) focusing on the case where F is the family of finite subgroups.
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