Example 4.8.9.9. Let $B$ be a simplicial set and let $A \subseteq B$ be a simplicial subset which contains the $n$-skeleton of $B$. Then the inclusion map $A \hookrightarrow B$ is categorically $n$-connective. In particular, for every simplicial set $B$, the inclusion map $\operatorname{sk}_{n}(B) \hookrightarrow B$ is categorically $n$-connective.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$