arXiv subjects

A. Dolich

Publications and source records attributed to A. Dolich.

2 recordsLinked to original sources

arXiv2012

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

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.

math.LO↗

arXiv2011

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

We recast the problem of calculating Vapnik-Chervonenkis (VC) density into one of counting types, and thereby calculate bounds (often optimal) on the VC density for some weakly o-minimal, weakly quasi-o-minimal, and $P$-minimal theories.

math.LO↗