Calculus of Fractions for Quasicategories
arXiv:2306.02218
Abstract
We describe a generalization of Gabriel and Zisman's Calculus of Fractions to quasicategories, showing that the two essentially coincide for the nerve of a category. We then prove that the marked Ex-functor can be used to compute the localization of a marked quasicategory satisfying our condition and that the appropriate (co)completeness properties of the quasicategory carry over to its localization.
arXiv comment57 pages, v2 removed application and appendix, added new results