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Results tagged with at.algebraic-topology
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user 38821
Homotopy theory, homological algebra, algebraic treatments of manifolds.
7
votes
1
answer
688
views
Homologically distinct infinite loop structures on a space
Let $X$ be a connected pointed topological space equipped with two different actions of $E_\infty$-operad. Each action provides a collection of deloopings $X_i$, where $X_0 = X$ and $\Omega X_i$ is ho …
- 502
21
votes
1
answer
2k
views
What are simplicial topological spaces intuitively?
(This is a repost of a question from MSE. I hope there is more to say.)
I tend to imagine simplicial objects in a category as some kind of "topological objects", with a notion of homotopy. Simplicial …
- 502