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The loop space $Ω_X$ of a pointed topological space $X$ is the space of based maps from the circle $\mathbb S^1$ to $X$ with the compact-open topology.
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votes
Jones' theorem for non-simply-connected spaces?
The more natural statement is already in Goodwillie's Cyclic homology, derivations, and the free loopspace, namely that if $X$ is connected, then choose a base point $x \in X$ and consider $C_{*}(\Ome …