Example 9.4.2.8. Let $\kappa \leq \lambda $ be regular cardinals and let $\operatorname{\mathcal{C}}$ be an $\infty $-category which is $(\kappa ,\lambda )$-cocomplete. Then an object $C \in \operatorname{\mathcal{C}}$ is $(\kappa ,\lambda )$-compact (in the sense of Definition 9.2.5.12) if and only if the inclusion map $\{ C \} \hookrightarrow \operatorname{\mathcal{C}}$ is a $(\kappa ,\lambda )$-compact functor (in the sense of Variant 9.4.2.4).
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$