Definition 4.8.1.8. Let $n$ be an integer. We say that a simplicial set $\operatorname{\mathcal{C}}$ is an $(n,1)$-category if it is an $\infty $-category which is weakly $n$-coskeletal and (if $n \geq 0$) minimal in dimension $n$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$