Kerodon

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

Definition 1.5.4.12. Let $\operatorname{\mathcal{C}}$ be a category which admits small colimits and let $S$ be a collection of morphisms of $\operatorname{\mathcal{C}}$. We will say that $S$ is weakly saturated if it is closed under pushouts (Definition 1.5.4.4), retracts (Variant 1.5.4.7), and transfinite composition (Definition 1.5.4.10).