Remark 4.5.1.2. We will later study a refinement of Construction 4.5.1.1. The collection of (small) $\infty $-categories can itself be organized into a (large) $\infty $-category $\operatorname{\mathcal{QC}}$, whose homotopy category can be identified with the ordinary category $\mathrm{h} \mathit{\operatorname{QCat}}$ of Construction 4.5.1.1. See Construction 5.5.4.1.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$