Example 10.2.6.24. Let $X$ be a simplicial set. Then the decalage $\operatorname{Dec}(X)_{\bullet }$ can be identified with the disjoint union of coslice constructions $\coprod _{x} X_{x/}$, where the coproduct is indexed by the collection of all vertices $x \in X$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$