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

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

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

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

Fingerprint

Dive into the research topics of 'Criteria for exact saturation and singular compactness'. Together they form a unique fingerprint.

Cite this