The Action by Natural Transformations of a Group on a Diagram of Spaces

Rafael Villarroel-Flores

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The Action by Natural Transformations of a Group on a Diagram of Spaces

Rafael Villarroel-Flores

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Abstract

For $\Cc$ a $G$-category, we give a condition on a diagram of simplicial sets indexed on $\Cc$ that allows us to define a natural $G$-action on its homotopy colimit, and in some other simplicial sets and categories defined in terms of the diagram. Well-known theorems on homeomorphisms and homotopy equivalences are generalized to an equivariant version.

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Rafael Villarroel-Flores. 2004-11-22. The Action by Natural Transformations of a Group on a Diagram of Spaces. https://arxiv.org/abs/math/0411502

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