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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.

9 votes
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characterization of cofibrations in CW-complexes with G-action

In the model structure you describe, the cofibrations should be the retracts of the free relative G-cell maps: i.e., retracts of maps obtained by attaching cells of the form $G \times S^{n} \to G \tim …
Anatoly Preygel's user avatar
7 votes

Cyclic spaces and S^1-equivariant homotopy theory

I don't know if this is exactly what you're looking for (and there's a good chance you already know what I'm going to write) but let me give it a try: The realization functor of cyclic sets (not spac …
Anatoly Preygel's user avatar