On the equivariant 2-type of a G-space’
نویسنده
چکیده
A classical theorem of Mac Lane and Whitehead states that the homotopy type of a topological space with trivial homotopy at dimensions 3 and greater can be reconstructed from its 711 and 712, and a cohomology class ks ~H~(rri, 7~). More recently, Moerdijk and Svensson suggested the possibility of using Bredon cohomology to extend this result to the equivariant case, that is, for spaces X equipped with an action by a fixed group G. In this paper we carry out this suggestion and prove an analogue of the classical result in the equivariant case. @ 1998 Elsevier Science B.V. All rights reserved. AMS Classijication: 55N91; 55R91; 55T91
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