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- W2129173849 abstract "Let M be a Mackey functor for a finite group G. In this paper, generalizing the Dold–Thom construction, we construct an ordinary equivariant homotopical homology theory H∗G(−;M) with coefficients in M, whose values on the category of finite G-sets realize the bifunctor M, both covariantly and contravariantly. Furthermore, we extend the contravariant functor to define a transfer in the theory H∗G(−;M) for G-equivariant covering maps. This transfer is given by a continuous homomorphism between topological abelian groups. We prove a formula for the composite of the transfer and the projection of a G-equivariant covering map and characterize those Mackey functors M for which that formula has an expression analogous to the classical one." @default.
- W2129173849 created "2016-06-24" @default.
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- W2129173849 date "2007-08-01" @default.
- W2129173849 modified "2023-10-01" @default.
- W2129173849 title "Equivariant homotopical homology with coefficients in a Mackey functor" @default.
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- W2129173849 doi "https://doi.org/10.1016/j.topol.2007.06.005" @default.
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