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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Equivariant cohomology with local coefficients
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by Goutam Mukherjee and Neeta Pandey PDF
Proc. Amer. Math. Soc. 130 (2002), 227-232 Request permission

Abstract:

We show that for a discrete group $G$, the equivariant cohomology of a $G$-space $X$ with $G$-local coefficients $M$ is isomorphic to the Bredon-Illman cohomology of $X$ with equivariant local coefficients $M$.
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Additional Information
  • Goutam Mukherjee
  • Affiliation: Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Calcutta-35, India
  • Email: goutam@isical.ac.in
  • Neeta Pandey
  • Affiliation: Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Calcutta-35, India
  • Email: res9423@isical.ac.in
  • Received by editor(s): May 5, 2000
  • Published electronically: August 7, 2001
  • Additional Notes: The second author was supported by a NBHM research associateship.
  • Communicated by: Ralph Cohen
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 227-232
  • MSC (2000): Primary 55N91
  • DOI: https://doi.org/10.1090/S0002-9939-01-06377-8
  • MathSciNet review: 1855640