Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1272

Preprint Number 1272

Previous Next Preprint server

1272. Michael Lieberman, Jiří Rosický, Sebastien Vasey
Universal abstract elementary classes and locally multipresentable

Submission date: 27 July 2017


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.

Mathematics Subject Classification: 03C48 (Primary), 18C35, 03C52, 03C55, 03C75 (Secondary)

Keywords and phrases:

Full text arXiv 1707.09005: pdf, ps.

Last updated: August 4 2017 12:10 Please send your corrections to: