Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Example 1.3.5.4. Let $\operatorname{\mathcal{C}}$ be an ordinary category. Then the homotopy category of the $\infty $-category $\operatorname{N}_{\bullet }(\operatorname{\mathcal{C}})$ can be identified with $\operatorname{\mathcal{C}}$. In particular, for each $n \geq 0$, the homotopy category $\mathrm{h} \mathit{\Delta ^ n}$ can be identified with $[n] = \{ 0 < 1 < \cdots < n \} $.