Showing math.CTShow all
3 papers · 1 filter
math.CT2025
A Toolkit for Structured Lifts
Chris Kapulkin, Yufeng Li
We develop a general framework for working with structured lifting problems, establishing closure and uniqueness properties of their solutions. In a subsequent paper, we apply thes…
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.
math.CT2024
Logical Structure on Inverse Functor Categories
Marcelo Fiore, Chris Kapulkin, Yufeng Li
Inspired by recent work on the categorical semantics of dependent type theories, we investigate the following question: When is logical structure (crucially, dependent-product and…