Equivariant Simplicial Cohomology With Local Coefficients and its Classification
نویسندگان
چکیده
We introduce equivariant twisted cohomology of a simplicial set equipped with simplicial action of a discrete group and prove that for suitable twisting function induced from a given equivariant local coefficients, the simplicial version of Bredon-Illman cohomology with local coefficients is isomorphic to equivariant twisted cohomology. The main aim of this paper is to prove a classification theorem for equivariant simplicial cohomology with local coefficients.
منابع مشابه
Equivariant Cohomology with Local Coefficients
We show that for a discrete group G, the equivariant cohomology of a G-space X with G-local coefficients M is isomorphic to the Bredon-Iliman cohomology of X with equivariant local coefficients M.
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