Criteria for exact saturation and singular compactness

Itay Kaplan; Nicholas Ramsey; Saharon Shelah

doi:10.1016/j.apal.2021.102992

Criteria for exact saturation and singular compactness

Itay Kaplan, Nicholas Ramsey^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Article number	102992
Journal	Annals of Pure and Applied Logic
Volume	172
Issue number	9
DOIs	https://doi.org/10.1016/j.apal.2021.102992
State	Published - 1 Oct 2021

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

Classification theory
Exact saturation
Model theory
Singular compactness

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10.1016/j.apal.2021.102992

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Criteria for exact saturation and singular compactness

Abstract

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Keywords

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