Remark 9.2.5.18 (Retracts). Let $\kappa \leq \lambda $ be regular cardinals, let $\operatorname{\mathcal{C}}$ be an $\infty $-category which is $(\kappa ,\lambda )$-cocomplete, and let $C \in \operatorname{\mathcal{C}}$ be an object. If $C$ is $(\kappa ,\lambda )$-compact, then any retract of $C$ is also $(\kappa ,\lambda )$-compact. See Remark 9.2.2.13.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$