# Kerodon

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

Example 7.1.2.4. Let $\operatorname{\mathcal{C}}$ be a category. An object $Y \in \operatorname{\mathcal{C}}$ is initial if and only if it is initial when viewed as an object of the $\infty$-category $\operatorname{N}_{\bullet }(\operatorname{\mathcal{C}})$. Similarly, an object $Y \in \operatorname{\mathcal{C}}$ is final if and only if it is final when viewed as an object of the $\infty$-category $\operatorname{N}_{\bullet }(\operatorname{\mathcal{C}})$.