Conventions
We refer to Lurie’s twin tomes [Lur09] and [Lur14] for general references on quasicategories. For further motivation regarding the Grothendieck construction (including a variety of applications), we refer the interested reader to [MGa]. Lastly, we refer to [MGb, §A] for details and specifics on working “within the -category of -categories” (as well as for further clarification regarding our conventions).
Original source: arXiv:1510.02402v1