ScalingStacks

Definition 2.19. An $\infty$-category ${\mathcal{C}}$ is accessible if there exists a regular cardinal $\kappa$ and a small $\infty$-category ${\mathcal{C}}^{0}$ such that there is an equivalence

$$\Ind_{\kappa}({\mathcal{C}}^{0})\simeq{\mathcal{C}}.$$

An $\infty$-category ${\mathcal{C}}$ is presentable if it arises as $\Ind_{\kappa}({\mathcal{D}})$ for a small $\infty$-category ${\mathcal{D}}$ which admits $\kappa$-small colimits [52, 5.5.1.1].