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02/10/2023
Strictly Associative and Unital ∞-Categories as a Generalized Algebraic Theory
We present the first definition of strictly associative and unital ∞-cat...
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12/28/2021
A Cartesian Bicategory of Polynomial Functors in Homotopy Type Theory
Polynomial functors are a categorical generalization of the usual notion...
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09/03/2021
A Type Theory for Strictly Associative Infinity Categories
Many definitions of weak and strict ∞-categories have been proposed. In ...
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06/08/2021
Globular weak ω-categories as models of a type theory
We study the dependent type theory CaTT, introduced by Finster and Mimra...
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04/30/2021
Types are Internal ∞-Groupoids
By extending type theory with a universe of definitionally associative a...
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07/16/2020