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arxiv: 0709.0248 · v1 · submitted 2007-09-03 · 🧮 math.LO · math.AT· math.CT

Homotopy theoretic models of identity types

Steve Awodey , Michael A. Warren This is my paper
classification 🧮 math.LO math.ATmath.CT
keywords modeltheorytypealgebracategoryconnectionformgeneralizing
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This paper presents a novel connection between homotopical algebra and mathematical logic. It is shown that a form of intensional type theory is valid in any Quillen model category, generalizing the Hofmann-Streicher groupoid model of Martin-Loef type theory.

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