MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 940

Preprint Number 940

Previous Next Preprint server


940. Itay Kaplan, Saharon Shelah and Pierre Simon
Exact saturation in simple and NIP theories
E-mail:

Submission date: 9 October 2015

Abstract:

A theory T is said to have exact saturation at a singular cardinal κ if it has a κ-saturated model which is not κ^+-saturated. We show, under some set-theoretic assumptions, that any simple theory has exact saturation. Also, an NIP theory has exact saturation if and only if it is not distal. This gives a new characterization of distality.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1510.02741: pdf, ps.


Last updated: October 21 2015 08:39 Please send your corrections to: