Group Actions on Algebraic Cell Complexes
نویسندگان
چکیده
We establish an algebraic version of the classical result that a G-map f between G-complexes which restricts to a homotopy equivalence fH on H-fixed sets for all subgroups H of G is a G-homotopy equivalence. This is used to give an alternative proof of a theorem of Bouc. We also include a number of illustrations and applications.
منابع مشابه
Smith Theory for algebraic varieties
We show how an approach to Smith Theory about group actions on CW–complexes using Bredon cohomology can be adapted to work for algebraic varieties. AMS Classification 57S17; 14F20
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