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Homotopy limits in type theory
journal contribution
posted on 2013-03-01, 00:00 authored by Jeremy AvigadJeremy Avigad, Krzysztof Kapulkin, Peter Lefanu LumsdaineWorking 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.