Construction 3.1.6.1 (The $\infty $-Category of Spaces). Let $\operatorname{\mathcal{S}}$ denote the homotopy coherent nerve $\operatorname{N}_{\bullet }^{\operatorname{hc}}( \operatorname{Kan})$ (Definition 2.4.3.5). We will refer to $\operatorname{\mathcal{S}}$ as the $\infty $-category of spaces.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$