Universal abstract elementary classes and locally multipresentable categories release_22e4mwr4yrfxjbgl25zaiz6try

by Michael Lieberman, Jiří Rosický, Sebastien Vasey

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2018  

Abstract

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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Type  article
Stage   accepted
Date   2018-07-12
Version   v4
Language   en ?
arXiv  1707.09005v4
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