4 problems

Let ${\cal L}_n$ be the simplicial category associated with a theory of weak $n$-categories, and suppose an equivalence with the simplicial category characterized by the paper's pr…

Let $nCat$ be the category of objects in a theory of weak $n$-categories, and let ${\cal L}_n$ denote the associated simplicial category obtained by Dwyer–Kan localization at equiv…

Let $\{x\}\to\mathcal{H}$ be a map in the set (A2) from Bergner's simplicial categories model-structure construction. Let $L$ denote the relevant left adjoint, and suppose that the…

Let ${\mathcal F}_n$ be the category of decorated objects, let ${\mathcal E}_n$ be the category in which the underlying objects live, and let $L^H$ denote hammock localization at t…