Proceedings of the American Mathematical Society

Author(s): Amiya Mukherjee; Aniruddha C. Naolekar
Journal: Proc. Amer. Math. Soc. 125 (1997), 3747-3752.
MSC (1991): Primary 55N25, 55N91
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Abstract: In this paper we apply a recently developed new version of the Bredon-Illman cohomology theory to obtain an equivariant analogue of a result of Kan and Thurston, which implies that a connected CW-complex has the homotopy type of a space obtained by applying the plus construction of Quillen to certain Eilenberg-MacLane spaces.

1.: A. J. Berrick, An approach to algebraic K-theory, Research Notes in Math. 56 (Pitman, 1982). MR 84g:18028
2.: G. E. Bredon, Equivariant cohomology theories, Lecture Notes in Math. 34 (Springer-Verlag, 1967). MR 35:4914
3.: T. tom Dieck, Transformation groups, de Gruyter Studies in Math. 8 (Walter de Gruyter, Berlin, New York, 1987). MR 89c:57048
4.: E. Dror, Acyclic spaces, Topology 11 (1972), 339-348. MR 47:4262
5.: A. D. Elmendorf, System of fixed point sets, Trans. Amer. Math. Soc. 277 (1983), 275-284. MR 84f:57029
6.: D. M. Kan and W. P. Thurston, Every connected space has the homology of a $K(\pi ,1)$ , Topology 15 (1976), 253-258. MR 54:1210
7.: S. Illman, Equivariant singular homology and cohomology, Mem. Amer. Math. Soc. 19 (1975). MR 51:11482
8.: A. Mukherjee and G. Mukherjee, Bredon-Illman cohomology with local coefficients, Quart. J. Math. Oxford(2) 47 (1996), 199-219. CMP 96:15
9.: D. G. Quillen, Cohomology of groups, Actes Congrès Int. Math. Nice, T. 2 (1970), 47-51. MR 58:7627a

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Amiya Mukherjee
Affiliation: Stat-Math Division, Indian Statistical Institute, 203 B. T. Road, Calcutta 700 035, India
Email: amiya@isical.ernet.in

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