VC-sets and generic compact domination

DOI10.1007/s11856-017-1457-3zbMath1367.03068arXiv1502.04513OpenAlexW2963463148MaRDI QIDQ522325

Pierre Simon

Publication date: 28 April 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04513

zbMATH Keywords

VC dimensioncompact domination

Mathematics Subject Classification ID

Compact groups (22C05) Classification theory, stability, and related concepts in model theory (03C45) Nonstandard measure theory (28E05)

Related Items (8)

Structure and regularity for subsets of groups with finite VC-dimension ⋮ Externally definable quotients and NIP expansions of the real ordered additive group ⋮ Convolutions of sets with bounded VC-dimension are uniformly continuous ⋮ On minimal flows and definable amenability in some distal NIP theories ⋮ Approximate subgroups with bounded VC-dimension ⋮ An invitation to extension domination ⋮ Pseudofinite groups and VC-dimension ⋮ Some model theory and topological dynamics of $p$-adic algebraic groups

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• Definably amenable NIP groups
• A Guide to NIP Theories
• Groups, measures, and the NIP
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

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