5 problems

Let $(\mathscr{V},\otimes,I)$ be a presentably symmetric monoidal $(\infty,1)$-category. Let $\mathscr{M}\mathrm{od}_{\mathscr{V}}$ be the $(\infty,2)$-category whose objects are…

Let $\mathcal{L}$ be a Lawvere theory admitting a symmetric monoidal structure compatible with finite products. Consider the $\infty$-categories of…

General recognition conjecture. Under these hypotheses, if $F$ is an $s \ell$-enriched open and faithful functor, then $\widetilde{F}$ is an equivalence.

Enriched icon conjecture. For every symmetric monoidal $(n+1)$-category ${\mathcal {E}}$, there is a symmetric monoidal $(n+1)$-category ${\mathcal {E}}\text{-Icon}$ of categories…

Let $C$ be a small category, let $… and suppose that$M$is a cartesian model category. For an object$X$of$M\operatorname{-Cat}$, let$hX…