Equivariant cohomology with local coefficients
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- by Goutam Mukherjee and Neeta Pandey
- Proc. Amer. Math. Soc. 130 (2002), 227-232
- DOI: https://doi.org/10.1090/S0002-9939-01-06377-8
- Published electronically: August 7, 2001
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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 $M$.References
- Glen E. Bredon, Equivariant cohomology theories, Lecture Notes in Mathematics, No. 34, Springer-Verlag, Berlin-New York, 1967. MR 0214062
- Albrecht Dold and Dieter Puppe, Homologie nicht-additiver Funktoren. Anwendungen, Ann. Inst. Fourier (Grenoble) 11 (1961), 201–312 (German, with French summary). MR 150183
- Sören Illman, Equivariant singular homology and cohomology. I, Mem. Amer. Math. Soc. 1 (1975), no. issue 2, 156, ii+74. MR 375286, DOI 10.1090/memo/0156
- I. Moerdijk and J.-A. Svensson, The equivariant Serre spectral sequence, Proc. Amer. Math. Soc. 118 (1993), no. 1, 263–278. MR 1123662, DOI 10.1090/S0002-9939-1993-1123662-9
- Amiya Mukherjee and Goutam Mukherjee, Bredon-Illman cohomology with local coefficients, Quart. J. Math. Oxford Ser. (2) 47 (1996), no. 186, 199–219. MR 1397938, DOI 10.1093/qmath/47.2.199
- George W. Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics, vol. 61, Springer-Verlag, New York-Berlin, 1978. MR 516508
Bibliographic 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