Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Definition 1.1.4.9. 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 $X_{\bullet } \simeq \underline{S}_{\bullet }$; here $\underline{S}_{\bullet }$ denotes the constant simplicial set of Construction 1.1.4.2.