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arXiv · 2308.11967

Duality for Clans: an Extension of Gabriel-Ulmer Duality

Jonas Frey
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Abstract

Clans are representations of generalized algebraic theories that contain more information than the finite-limit categories associated to the locally finitely presentable categories of models via Gabriel-Ulmer duality. Extending Gabriel-Ulmer duality to account for this additional information, we present a duality theory between clans and locally finitely presentable categories equipped with a weak factorization system of a certain kind.

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Jonas Frey. 2023-08-23. Duality for Clans: an Extension of Gabriel-Ulmer Duality. https://arxiv.org/abs/2308.11967

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