Example 9.2.3.2. An $\infty $-category $\operatorname{\mathcal{C}}$ is sequentially cocomplete (in the sense of Definition 7.6.5.1) if and only if it is $\aleph _0$-sequentially cocomplete (in the sense of Definition 9.2.3.1). If this condition is satisfied, then a functor $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ preserves sequential colimits if and only if it preserves $\aleph _0$-sequential colimits.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$