Variant 5.5.4.13. Let $\kappa $ be an uncountable cardinal. We let $\operatorname{\mathcal{S}}_{< \kappa }$ denote the full subcategory of $\operatorname{\mathcal{S}}$ spanned by the $\kappa $-small Kan complexes, which we also regard as a full subcategory of $\operatorname{\mathcal{QC}}_{< \kappa }$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$