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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front. Math. China    2015, Vol. 10 Issue (2) : 367-375    https://doi.org/10.1007/s11464-015-0451-5
RESEARCH ARTICLE
Bredon-Illman cohomology with actions of totally disconnected groups
Peilin SHI(),Lingzhen DONG
Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China
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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     
Corresponding Author(s): Peilin SHI   
Issue Date: 12 February 2015
 Cite this article:   
Peilin SHI,Lingzhen DONG. Bredon-Illman cohomology with actions of totally disconnected groups[J]. Front. Math. China, 2015, 10(2): 367-375.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-015-0451-5
https://academic.hep.com.cn/fmc/EN/Y2015/V10/I2/367
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