Example 6.3.7.8. Let $(A, \leq )$ be a partially ordered set. Then the nerve $\operatorname{N}_{\bullet }(A)$ is a nonsingular simplicial set. In particular, for every integer $n \geq 0$, the standard simplex $\Delta ^{n}$ is nonsingular.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$