Topometric spaces and perturbations of metric structures

DOI10.1007/s11813-008-0009-xzbMath1180.03040arXiv0802.4458OpenAlexW2145406042MaRDI QIDQ1039539

Itaï Ben Yaacov

Publication date: 30 November 2009

Published in: Logic and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.4458

zbMATH Keywords

perturbationtype spacescontinuous logicCantor-Bendixson ranktopometric spaces

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90) Connections of general topology with other structures, applications (54H99) Abstract model theory (03C95)

Related Items (19)

Complexity of distances: Theory of generalized analytic equivalence relations ⋮ RIGIDITY OF CONTINUOUS QUOTIENTS ⋮ ON PERTURBATIONS OF CONTINUOUS STRUCTURES ⋮ Lipschitz functions on topometric spaces ⋮ Metric Scott analysis ⋮ The model theory of modules of a \(C^*\)-algebra ⋮ MODEL THEORETIC PROPERTIES OF METRIC VALUED FIELDS ⋮ ℵ₀‐categorical Banach spaces contain ℓp or c₀ ⋮ Continuous stable regularity ⋮ On theories of random variables ⋮ ENFORCEABLE OPERATOR ALGEBRAS ⋮ Metrizable universal minimal flows of Polish groups have a comeagre orbit ⋮ Definability of groups in ℵ₀-stable metric structures ⋮ Continuous first order logic and local stability ⋮ Topological dynamics beyond Polish groups ⋮ Random variables and integral logic ⋮ Factorial relative commutants and the generalized Jung property for \(\mathrm{II}_1\) factors ⋮ Polish topometric groups ⋮ Duality for optimal couplings in free probability

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• On perturbations of Hilbert spaces and probability algebras with a generic automorphism
• On d-finiteness in continuous structures
• The diameter of a Lascar strong type
• ON PERTURBATIONS OF CONTINUOUS STRUCTURES
• Uncountable dense categoricity in cats

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