The Action by Natural Transformations of a Group on a Diagram of Spaces
Abstract
For a G-category, we give a condition on a diagram of simplicial sets indexed on 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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