Criteria for exact saturation and singular compactness

Itay Kaplan, Nicholas Ramsey, Saharon Shelah

Research output: Contribution to journalArticlepeer-review


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


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

All Science Journal Classification (ASJC) codes

  • Logic


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