### Exact saturation in simple and NIP theories

by Kaplan and Shelah and Simon. [KpShSi:1074]

J Math Logic, 2017

A theory T is said to have exact saturation at a singular
cardinal kappa if it has a kappa-saturated model which is not
kappa^+-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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