Homotopy limits in type theory Article Swipe

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Jeremy Avigad , Krzysztof Kapulkin , Peter LeFanu Lumsdaine ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.1184/r1/6491948.v1 · OA: W3102651064

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.