ScalingStacks

Example 15.7 ([29, Proposition 1.5.4]). Let $\mathcal{M}$ be a left proper simplicial combinatorial model category which is an absolute distributor ([29, Definition 1.5.1]). Then the category $\Fun(\Delta^{\mathrm{op}},\mathcal{M})$, of simplicial objects in $\mathcal{M}$, admits the $\mathcal{M}$-enriched complete Segal model structure $\CSS_{\mathcal{M}}$, which is again left proper, simplicial, combinatorial, and an absolute distributor. If $\mathcal{M}$ is a model category of of $(\infty,n-1)$-categories, then $\CSS_{\mathcal{M}}$ is a model category of $(\infty,n)$-categories.