Universal abstract elementary classes and locally multipresentable categories,

• Autoři: LIEBERMAN Michael; ROSICKÝ Jiří; VASEY Sébastien Bernard
• Rok publikování: 2019
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Proceedings of the American Mathematical Society
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: Full Text
• Doi: http://dx.doi.org/10.1090/proc/14326
• Klíčová slova: abstract elementary class; accessible category; universal class; locally multipresentable category
• Popis: 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.

Související projekty

• Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku