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Mackey functors and G-cohomology. (English) Zbl 0544.55011

Being given a compact Lie group G, this paper describes three different categories with objects G/H, H a closed subgroup of G. Functors from these categories to the category of abelian groups are called Bredon, Mackey, and Hecke functors and provide coefficient systems for equivariant cohomology theories. The author studies the cohomology of classifying spaces corresponding to these different equivariant theories.
Reviewer: R.E.Stong

MSC:

55N25 Homology with local coefficients, equivariant cohomology
57S10 Compact groups of homeomorphisms
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
55N91 Equivariant homology and cohomology in algebraic topology
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