Kerodon

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

Remark 4.7.5.3. Let $\kappa $ be an uncountable cardinal. Then a simplicial set $\operatorname{\mathcal{C}}$ is essentially $\kappa $-small if and only if the opposite simplicial set $\operatorname{\mathcal{C}}^{\operatorname{op}}$ is essentially $\kappa $-small. See Remark 4.7.4.3.