2 problems

Dupin cyclides provide examples of surfaces in $\mathbb{R}^3$ with nontrivial topology; in particular, consider a pinched torus, which is a stratified manifold with strata where it…

Let $n\geq 0$. Write $\operatorname{{\sf Cat}}_n^{\operatorname{{\sf adj}}}$ for the full $\infty$-subcategory of $(\infty,n)$-categories in which every $k$-morphism, for $0<k<n$,…