Homotopy limits in type theory
Jeremy D. Avigad, Krzysztof Kapulkin, Peter LeFanu Lumsdaine · Figshare · 2018
Working in homotopy type theory, we provide a systematic study of homotopy limits of diagrams over graphs, formalized in the Coq proof assistant. We discuss some of the challenges posed by this approach to the formalizing homotopy-theoretic material. We also compare our constructions with the more classical approach to homotopy limits via fibration categories.