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Results tagged with loop-spaces
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user 32022
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.
1
vote
Homology of loop space
Here's an argument that works in the non simply-connected case and avoids the universal cover and spectral sequences assuming the existence of rationalizations.
Assume that $X$ has rational cohomolog …
- 2,974
8
votes
1
answer
635
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Reference Request: Grouplike Algebras over the little $n$-cubes operad are $n$-fold loop spaces
In Geometry of the iterated loop space, Peter May proved his famous recognition theorem, which is, in a simple form, stated on page 3 as the following.
There exist $\Sigma$-free operads $\mathcal{ …
- 2,974