2 papers
math.AT2025
Derived mapping spaces of -categories
Kensuke Arakawa, Daniel Carranza, Chris Kapulkin
We prove the Derived Mapping Space Lemma, which generalizes the central theorem of Cisinski's work on calculus of fractions for -categories, and allows us to provide a unif…
math.CT2025
Pushforwards in Inverse Homotopical Diagrams
Chris Kapulkin, Yufeng Li
We establish a sufficient condition for the category of homotopical inverse diagrams to be closed under pushforward inside the category of inverse diagrams in a fibration category.