Kerodon

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

Corollary 9.2.2.23. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category which admits small filtered colimits. Then the collection of compact objects of $\operatorname{\mathcal{C}}$ is closed under finite colimits.