Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1736

Preprint Number 1736

Previous Next Preprint server

1736. Itay Kaplan, Nicholas Ramsey, and Saharon Shelah
Criteria for exact saturation and singular compactness

Submission date: 1 March 2020


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.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 2003.00597: pdf, ps.

Last updated: March 10 2020 13:45 Please send your corrections to: