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Results tagged with infinity-categories
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user 8818
Part of higher category theory that for instance in Algebraic Topology enables us to capture finer homotopic distinctions. As in say Eilenberg-Maclane spaces.
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
13
votes
2
answers
1k
views
Correspondence between operads and $\infty$-operads with one object
Given a simplicial operad one can form its category of operators. This is a simplicial category with a functor to the category of finite pointed sets which is a bijection on objects and whose hom-spac …
- 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