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arXiv · 1109.5437

Vapnik-Chervonenkis density in some theories without the independence property, II

M. Aschenbrenner·A. Dolich·D. Haskell·D. Macpherson·S. Starchenko
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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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BibTeXRIS

M. Aschenbrenner, A. Dolich, D. Haskell, D. Macpherson, S. Starchenko. 2011-09-26. Vapnik-Chervonenkis density in some theories without the independence property, II. https://doi.org/10.1215/00294527-2143862

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