Universal abstract elementary classes and locally multipresentable categories,

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Authors	LIEBERMAN Michael ROSICKÝ Jiří VASEY Sébastien Bernard
Year of publication	2019
Type	Article in Periodical
Magazine / Source	Proceedings of the American Mathematical Society
MU Faculty or unit	Faculty of Science
Citation
Web	Full Text
Doi	http://dx.doi.org/10.1090/proc/14326
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.
Related projects:	Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku