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Preprint Number 1736

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1736. Itay Kaplan, Nicholas Ramsey, and Saharon Shelah
Criteria for exact saturation and singular compactness
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Submission date: 1 March 2020

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.

Mathematics Subject Classification:

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Full text arXiv 2003.00597: pdf, ps.


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