Publication details

Universal abstract elementary classes and locally multipresentable categories,

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LIEBERMAN Michael ROSICKÝ Jiří VASEY Sébastien Bernard

Year of publication 2019
Type Article in Periodical
Magazine / Source Proceedings of the American Mathematical Society
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Faculty of Science

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Keywords abstract elementary class; accessible category; universal class; locally multipresentable category
Description We exhibit an equivalence between the model-theoretic framework of universal classes and the category-theoretic framework of locally multipresentable categories. We similarly give an equivalence between abstract elementary classes (AECs) admitting intersections and locally polypresentable categories. We use these results to shed light on Shelah's presentation theorem for AECs.
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