Journal of Mathematical Logic 17 (1):1750001 (2017)
| Abstract |
A theory [Formula: see text] is said to have exact saturation at a singular cardinal [Formula: see text] if it has a [Formula: see text]-saturated model which is not [Formula: see text]-saturated. We show, under some set-theoretic assumptions, that any simple theory has exact saturation. Also, an NIP theory has exact saturation if and only if it is not distal. This gives a new characterization of distality.
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| DOI | 10.1142/s0219061317500015 |
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References found in this work BETA
Distal and Non-Distal NIP Theories.Pierre Simon - 2013 - Annals of Pure and Applied Logic 164 (3):294-318.
Witnessing Dp-Rank.Itay Kaplan & Pierre Simon - 2014 - Notre Dame Journal of Formal Logic 55 (3):419-429.
Citations of this work BETA
Criteria for Exact Saturation and Singular Compactness.Itay Kaplan, Nicholas Ramsey & Saharon Shelah - 2021 - Annals of Pure and Applied Logic 172 (9):102992.
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