MODEL THEORETIC STABILITY AND DEFINABILITY OF TYPES, AFTER A. GROTHENDIECK

DOI10.1017/bsl.2014.33zbMath1345.03058arXiv1306.5852OpenAlexW2963486449MaRDI QIDQ2795208

Itaï Ben Yaacov

Publication date: 18 March 2016

Published in: The Bulletin of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5852

zbMATH Keywords

relative weak compactnessdefinable typeorder propertystable formula

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (12)

Amenability, extreme amenability, model-theoretic stability, and dependence property in integral logic ⋮ On a Roelcke-precompact Polish group that cannot act transitively on a complete metric space ⋮ ℵ₀‐categorical Banach spaces contain ℓp or c₀ ⋮ Continuous stable regularity ⋮ AUTOMORPHISM GROUPS OF RANDOMIZED STRUCTURES ⋮ Stability, the NIP, and the NSOP: model theoretic properties of formulas via topological properties of function spaces ⋮ Infinite-dimensional Polish groups and property (T) ⋮ The dynamical hierarchy for Roelcke precompact Polish groups ⋮ Minimal stable types in Banach spaces ⋮ Amenability, connected components, and definable actions ⋮ Generically stable and smooth measures in NIP theories ⋮ Stability in a group

Cites Work

• Reflexive representability and stable metrics
• Espaces de Banach stables
• Uniformly non-square Banach spaces
• An elementary proof of the Eberlein-Šmulian theorem
• Continuous first order logic and local stability
• Criteres de Compacite dans les Espaces Fonctionnels Generaux

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