Glivenko-Cantelli classes and \textit{NIP} formulas

DOI10.1007/S00153-024-00932-7MaRDI QIDQ6617180

Karim Khanaki

Publication date: 10 October 2024

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

zbMATH Keywords

Rosenthal compactumGlivenko-Cantelli classesBaire-1 functions\textit{NIP} formulasFremlin-Talagrand stability

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classification theory, stability, and related concepts in model theory (03C45) Classification of real functions; Baire classification of sets and functions (26A21) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Cites Work

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• On NIP and invariant measures
• Randomizations of models as metric structures
• The Glivenko-Cantelli problem
• Measures and forking
• Spaces of Baire functions. I
• Dividing lines in unstable theories and subclasses of Baire 1 functions
• On functions of finite Baire index
• Continuous and random Vapnik-Chervonenkis classes
• Model theoretic stability and definability of types, after A. Grothendieck
• Generically stable and smooth measures in NIP theories
• A Classification of Baire Class 1 Functions
• Pointwise Compact Sets of Baire-Measurable Functions
• Amenability, extreme amenability, model-theoretic stability, and dependence property in integral logic
• Pettis integral and measure theory
• Vapnik-Chervonenkis Classes of Definable Sets
• A Characterization of Banach Spaces Containing l ¹
• Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory
• Sequential approximations for types and Keisler measures
• Remarks on the NIP in a model
• Stability, the NIP, and the NSOP: model theoretic properties of formulas via topological properties of function spaces
• LOCAL KEISLER MEASURES AND NIP FORMULAS
• A Guide to NIP Theories
• Rosenthal compacta and NIP formulas
• Groups, measures, and the NIP
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
• Invariant types in NIP theories
• ℵ₀‐categorical Banach spaces contain ℓp or c₀
• Remarks on convergence of Morley sequences

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