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- W87652854 abstract "We generalize two classical homotopy theory results, the Blakers-Massey Theorem and Quillen's Theorem B, to G-equivariant cubical diagrams of spaces, for a discrete group G. We show that the equivariant Freudenthal suspension Theorem for permutation representations is a direct consequence of the equivariant Blakers-Massey Theorem. We also apply this theorem to generalize to G-manifolds a result about cubes of configuration spaces from embedding calculus. Our proof of the equivariant Theorem B involves a generalization of the classical Theorem B to higher dimensional cubes, as well as a categorical model for finite homotopy limits of classifying spaces of categories." @default.
- W87652854 created "2016-06-24" @default.
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- W87652854 date "2016-04-26" @default.
- W87652854 modified "2023-10-02" @default.
- W87652854 title "Equivariant diagrams of spaces" @default.
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- W87652854 doi "https://doi.org/10.2140/agt.2016.16.1157" @default.
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