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Results tagged with monoidal-categories
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user 51164
3
votes
Accepted
References about "monoidal fibrations" in $\infty$-category theory
I don't know a reference but here is a not-too-long proof. The condition that $\mathsf{D} \to \mathsf{E}$ is a cartesian fibration implies that for every $\langle n \rangle \in \mathrm{Fin}_*$ the map …
- 9,491
11
votes
Accepted
What is this symmetric simplex category, concretely?
$\Delta_+$ is the monoidal category generated from the associative operad, considered as a non-symmetric operad. Similarly, $(\Delta_+)_{{\rm sym}}$ is the symmetric monoidal category generated from t …
- 9,491
17
votes
Kan extensions in the $2$-category of monoidal categories
I believe that this is a particular case of Lurie's "operadic left Kan extension". We may identify a monoidal $\infty$-category $\mathcal{C}$ with a coCartesian fibrations of $\infty$-operads $\mathca …
- 9,491