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Universal abstract elementary classes and locally multipresentable
categories
release_22e4mwr4yrfxjbgl25zaiz6try
by
Michael Lieberman, Jiří Rosický, Sebastien Vasey
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as a article
.
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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1707.09005v4
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