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Results tagged with higher-category-theory
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user 8818
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
4
votes
Accepted
Loops and suspensions of higher categories
First let me thank Urs, Karol, and Rune Haugseng for helpful comments.
Now note that the inclusion, $i$, of $\infty$-groupoids into $(\infty,n)$-categories has an $\infty$-categorical left adjoint, $ …
- 1,738
6
votes
Computations in $\infty$-categories
I believe that many computations could be done in the context of $\infty$-categories given enough outside input. For example, I would expect that most of the spectral sequences arising in topology cou …
- 1,738
10
votes
1
answer
556
views
Loops and suspensions of higher categories
Given a pointed $(\infty,n)$-category $\mathcal{C}$, one can define the suspension of $\mathcal{C}$, $\Sigma\mathcal{C}$, via the homotopy pushout of $$\ast\leftarrow \mathcal{C}\rightarrow \ast.$$ Du …
- 1,738