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Equivariant homotopy theory is the study of how homotopy theory behaves when spaces are considered together with a group action on them.

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Equivariant colimits and homotopy colimits

Suppose we are given a diagram of topological spaces. We can restrict ourselves to the diagrams over finite partially ordered sets and let all spaces be good enough (e.g. CW-complexes). One can take t …
Anton Ayzenberg's user avatar