Notre Dame Journal of Formal Logic 54 (3-4):311-363 (2013)

Abstract
We study the Vapnik–Chervonenkis density of definable families in certain stable first-order theories. In particular, we obtain uniform bounds on the VC density of definable families in finite $\mathrm {U}$-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
Keywords theories without the independence property   Vapnik–Chervonenkis density   finite cover property   modules   abelian groups
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DOI 10.1215/00294527-2143862
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References found in this work BETA

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On Dp-Minimal Ordered Structures.Pierre Simon - 2011 - Journal of Symbolic Logic 76 (2):448 - 460.
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On Dp-Minimality, Strong Dependence and Weight.Alf Onshuus & Alexander Usvyatsov - 2011 - Journal of Symbolic Logic 76 (3):737 - 758.
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Citations of this work BETA

Dp-Minimal Valued Fields.Franziska Jahnke, Pierre Simon & Erik Walsberg - 2017 - Journal of Symbolic Logic 82 (1):151-165.
A New Dp-Minimal Expansion of the Integers.Eran Alouf & Christian D’elbée - 2019 - Journal of Symbolic Logic 84 (2):632-663.
On Expansions Of.Quentin Lambotte & Françoise Point - 2020 - Annals of Pure and Applied Logic 171 (8):102809.
On VC-Minimal Fields and Dp-Smallness.Vincent Guingona - 2014 - Archive for Mathematical Logic 53 (5-6):503-517.

View all 10 citations / Add more citations

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