Definable functions in Urysohn's metric space

zbMath1279.03061arXiv1001.4999MaRDI QIDQ358931

Isaac Goldbring

Publication date: 9 August 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4999

zbMATH Keywords

continuous model theoryUrysohn metric space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Interpolation, preservation, definability (03C40)

Related Items

An approximate Herbrand’s theorem and definable functions in metric structures ⋮ Model theoretic properties of the Urysohn sphere ⋮ Definable operators on Hilbert spaces ⋮ Definable closure in randomizations

Cites Work

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• Some geometric and dynamical properties of the Urysohn space
• Generic separable metric structures
• The Urysohn universal metric space is homeomorphic to a Hilbert space
• Some isometry groups of the Urysohn space
• Flexible and Precision Assembly
• Definability of groups in ℵ₀-stable metric structures
• Topology of the isometry group of the Urysohn space
• Thorn-forking in continuous logic

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