Definition 9.4.6.1. Let $\kappa $ be a small regular cardinal. We say that an $\infty $-category $\operatorname{\mathcal{C}}$ is $\kappa $-accessible if there exists a small $\infty $-category $\operatorname{\mathcal{C}}_0$ such that $\operatorname{\mathcal{C}}$ is an $\operatorname{Ind}_{\kappa }$-completion of $\operatorname{\mathcal{C}}_0$.
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