Stable factorization from a fibred algebraic weak factorization system

Evan Cavallo

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arXiv · 1910.03121

Stable factorization from a fibred algebraic weak factorization system

Evan Cavallo

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Abstract

We present a construction of stable diagonal factorizations, used to define categorical models of type theory with identity types, from a family of algebraic weak factorization systems on the slices of a category. Inspired by a computational interpretation of indexed inductive types in cubical type theory due to Cavallo and Harper, it can be read as a refactoring of a construction of van den Berg and Garner, and is a new alternative among a variety of approaches to modeling identity types in the literature.

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Evan Cavallo. 2019-10-07. Stable factorization from a fibred algebraic weak factorization system. https://arxiv.org/abs/1910.03121

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