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math.AT2023
Calculus of Fractions for Quasicategories
Daniel Carranza, Chris Kapulkin, Zachery Lindsey
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…
math.AT2023
Diagonal Lemma for Presheaves on Eilenberg-Zilber Categories
Daniel Carranza, Chris Kapulkin, Liang Ze Wong
The diagonal lemma asserts that if a map of bisimplicial sets is a levelwise weak equivalence in the Kan-Quillen model structure, then it induces a weak equivalence of the diagonal…