Bredon-Illman cohomology with actions of totally disconnected groups

Abstract

We study the Bredon-Illman cohomology with local coefficients for a G-space X in the case of G being a totally disconnected, locally compact group. We prove that any short exact sequence of equivariant local coefficients systems on X gives a long exact sequence of the associated Bredon-Illman cohomology groups with local coefficients.

Keywords

Bredon-Illman cohomology with local coefficients / group action / totally disconnected group / exact sequence

References

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Higher Education Press and Springer-Verlag Berlin Heidelberg