RESEARCH ARTICLE

Bredon-Illman cohomology with actions of totally disconnected groups

  • Peilin SHI ,
  • Lingzhen DONG
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  • Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

Received date: 17 May 2013

Accepted date: 21 Oct 2014

Published date: 12 Feb 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

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.

Cite this article

Peilin SHI , Lingzhen DONG . Bredon-Illman cohomology with actions of totally disconnected groups[J]. Frontiers of Mathematics in China, 2015 , 10(2) : 367 -375 . DOI: 10.1007/s11464-015-0451-5

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