Remark 2.5.3.11. The theory of differential graded categories can be regarded as a special case of the more general theory of $A_{\infty }$-categories (see [MR1925734]). Definition 2.5.3.7 and Theorem 2.5.3.10 have been extended to the setting of $A_{\infty }$-categories by Faonte; we refer the reader to [MR3607208] for details.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$