Corollary 1.1.4.7. Let $S$ be a simplicial set. For every integer $k$, the $k$-skeleton $\operatorname{sk}_{k}(S)$ is the largest simplicial subset of $S$ of dimension $\leq k$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$
Corollary 1.1.4.7. Let $S$ be a simplicial set. For every integer $k$, the $k$-skeleton $\operatorname{sk}_{k}(S)$ is the largest simplicial subset of $S$ of dimension $\leq k$.