Exact saturation in simple and NIP theories

Itay Kaplan*, Saharon Shelah, Pierre Simon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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

Original languageAmerican English
Article number1750001
JournalJournal of Mathematical Logic
Issue number1
StatePublished - 1 Jun 2017

Bibliographical note

Funding Information:
The first author would like to thank the Israel Science Foundation for partial support of this research (Grant No. 1533/14)

Publisher Copyright:
© 2017 World Scientific Publishing Company.


  • NIP theories
  • Saturated models
  • classification theory
  • distal theories
  • simple theories


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