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Model structures on categories of models of type theories

  • VALERY ISAEV (a1)

Abstract

Models of dependent type theories are contextual categories with some additional structure. We prove that if a theory T has enough structure, then the category T-Mod of its models carries the structure of a model category. We also show that if T has Σ-types, then weak equivalences can be characterized in terms of homotopy categories of models.

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Model structures on categories of models of type theories

  • VALERY ISAEV (a1)

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