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Equivariant cohomology with local coefficients

Author(s): Goutam Mukherjee; Neeta Pandey
Journal: Proc. Amer. Math. Soc. 130 (2002), 227-232.
MSC (2000): Primary 55N91
Posted: August 7, 2001
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Abstract: We show that for a discrete group , the equivariant cohomology of a -space with -local coefficients is isomorphic to the Bredon-Illman cohomology of with equivariant local coefficients .

References:

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2.: Dold A., Puppe D., Homologie nicht-additiver Funktoren. Anwendungen, Ann. Inst. Fourier(Grenoble), Vol.11, 1961, 202-312. MR 27:186
3.: Illman S., Equivariant Singular Homology and Cohomology, Mem. Amer. Math. Soc., 156, 1975. MR 51:11482
4.: Moerdijk I., Svensson J.-A., The Equivariant Serre Spectral Sequence, Proc. AMS, Vol.118, 1993, 263-278. MR 93f:55023
5.: Mukherjee A., Mukherjee G., Bredon-Illman Cohomology with Local coefficients, Quart. J. Math. Oxford(2), 47, 1996, 199-219. MR 98m:55008
6.: Whitehead G.W., Elements of homotopy theory, Springer-Verlag, 1978. MR 80b:55001


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