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Preprint Number 360

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360. Matthias Aschenbrenner, Alf Dolich, Deirdre Haskell, Dugald Macpherson and Sergei Starchenko.
Vapnik-Chervonenkis density in some theories without the independence property, II.
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Submission date: 23 September 2011.

Abstract:

We study the Vapnik-Chervonenkis (VC) density of definable families in certain stable first-order theories. In particular we obtain uniform bounds on VC density of definable families in finite U-rank theories without the finite cover property, and we characterize those abelian groups for which there exist uniform bounds on the VC density of definable families.

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Full text arXiv 1109.5437: pdf, ps.


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