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arXiv · 1304.0680

Homotopy limits in type theory

Jeremy Avigad·Chris Kapulkin·Peter LeFanu Lumsdaine
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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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BibTeXRIS

Jeremy Avigad, Chris Kapulkin, Peter LeFanu Lumsdaine. 2015-07-08. Homotopy limits in type theory. https://doi.org/10.1017/s0960129514000498

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