Example 5.3.3.2. Let $X$ be a simplicial set, which we identify with the constant functor $\mathscr {F}: [0] \rightarrow \operatorname{Set_{\Delta }}$ taking the value $X$. Then the weighted nerve $\operatorname{N}_{\bullet }^{\mathscr {F}}([0])$ can be identified with the simplicial set $X$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$