Poincaré Duality Groups
نویسندگان
چکیده
Given any group Γ, there is an aspherical CW -complex BΓ (also denoted by K(Γ, 1)) with fundamental group Γ; moreover, BΓ is unique up to homotopy equivalence (cf. [Hu]). BΓ is called the classifying space of Γ. (BΓ is also called an Eilenberg-MacLane space for Γ.) So, the theory of aspherical CW -complexes, up to homotopy, is identical with the theory of groups. This point of view led to the notion of the (co)homology of a group Γ: it is simply the (co)homology of the space BΓ.
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تاریخ انتشار 2007