# Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$

Example 5.5.3.2. 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 $\int ^{\mathrm{s}}_{[0]}\mathscr {F}$ is isomorphic to the simplicial set $X$.