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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

Let $G$ be any topological group. Then we can form the infinite join $E_G$ of $G$, i.e. the colimit $G*G*G\cdots$. Is $E_G$ contractible? I mean it is clear that $E_G$ is weakly contractible, bu …
Oliver Straser's user avatar