Kerodon

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

Definition 1.1.6.6. Let $S_{\bullet }$ be a simplicial set. We will say that $S_{\bullet }$ is connected if it is nonempty and every summand $S'_{\bullet } \subseteq S_{\bullet }$ is either empty or coincides with $S_{\bullet }$.