Definition 9.6.1.13. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category, let $W$ be a collection of morphisms of $\operatorname{\mathcal{C}}$, and let $\kappa $ be a regular cardinal. The $\kappa $-small transfinite closure of $W$ is the smallest collection of morphisms of $\operatorname{\mathcal{C}}$ which contains $W$ and is closed under $\kappa $-small transfinite composition.
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