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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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Is the Milnor construction contractible
Oliver Straser is correct in that Milnor himself in 1956 [1] only showed his model for $EG$ is weakly contractible (that is, all its homotopy groups vanish) with his coarse topology on the join. (For …