Criteria for exact saturation and singular compactness
Logic
2021-04-19 v2
Abstract
We introduce the class of unshreddable theories, which contains the simple and NIP theories, and prove that such theories have exactly saturated models in singular cardinals, satisfying certain set-theoretic hypotheses. We also give criteria for a theory to have singular compactness.
Cite
@article{arxiv.2003.00597,
title = {Criteria for exact saturation and singular compactness},
author = {Itay Kaplan and Nicholas Ramsey and Saharon Shelah},
journal= {arXiv preprint arXiv:2003.00597},
year = {2021}
}