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Equivariant acyclic maps
Authors:Amiya Mukherjee  Aniruddha C Naolekar
Institution:Stat-Math Division, Indian Statistical Institute, 203 B. T. Road, Calcutta 700 035, India ; School of Mathematics, SPIC Science Foundation, 92, G. N. Chetty Road, Madras 600 017, India
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.

Keywords:Equivariant cohomology  $G$-acyclic map  $G$-homotopy equivalence
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