Warning 2.4.1.2. The terminology of Definition 2.4.1.1 is not standard. Many authors use the term *simplicial category* to mean a simplicial object of the category $\operatorname{Cat}$, and the term *simplicially enriched category* to mean a category enriched over simplicial sets. These notions are closely related: see Remark 2.4.1.12.

$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$