Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Example 10.2.5.11. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category and let $C_{\bullet }$ be an augmented simpicial object of $\operatorname{\mathcal{C}}$. Then $C_{\bullet }$ is $0$-coskeletal (in the sense of Definition 10.2.5.10) if and only if it is a Čechnerve (in the sense of Definition 10.2.5.1). See Remark 10.2.5.3.