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

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

2011-09-26

arxiv.org/abs/1109.5437v2

Mathematics

Logic

53 pp

Scientific paper

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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