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Homotopy limits in type theory
Published 2 Apr 2013 in math.LO, cs.LO, and math.CT | (1304.0680v3)
Abstract: 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 formalizing homotopy-theoretic material. We also compare our constructions with the more classical approach to homotopy limits via fibration categories.
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