Equivariant acyclic maps
Copyright policy )Equivariant acyclic maps
Summary: 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.
Quillen construction, Equivariant homology and cohomology in algebraic topology, Homology with local coefficients, equivariant cohomology, \(G\)-homotopy equivalence, Bredon-Illman cohomology theory, equivariant cohomology, \(G\)-acyclic map
Quillen construction, Equivariant homology and cohomology in algebraic topology, Homology with local coefficients, equivariant cohomology, \(G\)-homotopy equivalence, Bredon-Illman cohomology theory, equivariant cohomology, \(G\)-acyclic map
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