Criteria for exact saturation and singular compactness

Itay Kaplan, Nicholas Ramsey*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageAmerican English
Article number102992
JournalAnnals of Pure and Applied Logic
Issue number9
StatePublished - 1 Oct 2021

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.


  • Classification theory
  • Exact saturation
  • Model theory
  • Singular compactness


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