2023/06/04 by Carranza, Daniel, Kapulkin, Chris, Lindsey, Zachery · 1 citation
#18N40 #18N50 #18N55 #18N60 #55U35 #Algebraic Topology (math.AT) #Category Theory (math.CT) #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2306.02218
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.