Definition 1.1.5.10. Let $X_{\bullet }$ be a simplicial set. We will say that $X_{\bullet }$ is discrete if there exists a set $S$ and an isomorphism of simplicial sets $X_{\bullet } \simeq \underline{S}$; here $\underline{S}$ denotes the constant simplicial set of Construction 1.1.5.2.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$