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Preprint Number 940

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

Submission date: 9 October 2015


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.

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Full text arXiv 1510.02741: pdf, ps.

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