Model theoretic properties of the Urysohn sphere

DOI10.1016/j.apal.2015.09.003zbMath1432.03053arXiv1401.2132OpenAlexW2964226420MaRDI QIDQ888549

Gabriel Conant, Caroline A. Terry

Publication date: 30 October 2015

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2132

zbMATH Keywords

classification theorycontinuous logicUrysohn sphere

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Other nonclassical logic (03B60) Many-valued logic (03B50) Classification theory, stability, and related concepts in model theory (03C45) Continuous model theory, model theory of metric structures (03C66)

Related Items (7)

Constructions of Urysohn universal ultrametric spaces ⋮ Quantitative structure of stable sets in finite abelian groups ⋮ Neostability in countable homogeneous metric spaces ⋮ Distance structures for generalized metric spaces ⋮ DISCRETE METRIC SPACES: STRUCTURE, ENUMERATION, AND 0-1 LAWS ⋮ INDEPENDENCE IN GENERIC INCIDENCE STRUCTURES ⋮ AN AXIOMATIC APPROACH TO FREE AMALGAMATION

Cites Work

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• On theories of random variables
• The isometry group of the bounded Urysohn space is simple
• A GEOMETRIC INTRODUCTION TO FORKING AND THORN-FORKING
• The free roots of the complete graph
• On the isometry group of the Urysohn space
• Forking and Dividing in NTP₂ theories
• Thorn-forking in continuous logic

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