Criteria for exact saturation and singular compactness

Itay Kaplan, Nicholas Ramsey, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume172
Issue number9
DOIs
StatePublished - 1 Oct 2021

Keywords

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

All Science Journal Classification (ASJC) codes

  • Logic

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