paper

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

arXiv:1109.5437 · doi:10.1215/00294527-2143862

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.

53 pp

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