ON PERTURBATIONS OF CONTINUOUS STRUCTURES

DOI10.1142/S0219061308000762zbMath1191.03027arXiv0802.4388OpenAlexW2139314944MaRDI QIDQ5305059

Itaï Ben Yaacov

Publication date: 19 March 2010

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

Full work available at URL: https://arxiv.org/abs/0802.4388

zbMATH Keywords

perturbationcategoricitycontinuous logicmetric structures

Mathematics Subject Classification ID

Nonclassical models (Boolean-valued, sheaf, etc.) (03C90) Categoricity and completeness of theories (03C35) Abstract model theory (03C95)

Related Items (15)

CONTINUOUS FIRST ORDER LOGIC FOR UNBOUNDED METRIC STRUCTURES ⋮ Lipschitz functions on topometric spaces ⋮ MODEL THEORETIC PROPERTIES OF METRIC VALUED FIELDS ⋮ Model theory of a Hilbert space expanded with an unbounded closed selfadjoint operator ⋮ ℵ₀‐categorical Banach spaces contain ℓp or c₀ ⋮ Approximate isomorphism of metric structures ⋮ MEASURING DEPENDENCE IN METRIC ABSTRACT ELEMENTARY CLASSES WITH PERTURBATIONS ⋮ Approximate isomorphism of randomization pairs ⋮ Encoding complete metric structures by classical structures ⋮ Continuous first order logic and local stability ⋮ Model theoretic forcing in analysis ⋮ Categoricity in homogeneous complete metric spaces ⋮ Topometric spaces and perturbations of metric structures ⋮ Hilbert spaces expanded with a unitary operator ⋮ Metric spaces are universal for bi-interpretation with metric structures

Cites Work

• Topometric spaces and perturbations of metric structures
• Generic structures and simple theories
• On supersimplicity and lovely pairs of cats
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• POSITIVE MODEL THEORY AND COMPACT ABSTRACT THEORIES
• CONTINUOUS FIRST ORDER LOGIC FOR UNBOUNDED METRIC STRUCTURES

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