Equivariant Simplicial Cohomology With Local Coefficients and its Classification

Details Equivariant Simplicial Cohomology With Local Coefficients and its Classification Equivariant Simplicial Cohomology With Local Coefficients and its Classification

2009-05-14

arxiv.org/abs/0905.2279v3

Mathematics

Algebraic Topology

25 pages

Scientific paper

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.

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