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Bredon-Illman cohomology with actions of totally disconnected groups
Authors:Peilin SHI  Lingzhen DONG
Affiliation:Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China
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  
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