Isometry groups of Borel randomizations

DOI10.1215/00294527-2020-0008zbMath1484.03090arXiv1808.09533OpenAlexW3016083905MaRDI QIDQ778736

Rafael Zamora, Alexander Berenstein

Publication date: 20 July 2020

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09533

zbMATH Keywords

isometry groupstopological groupsBorel randomizationsrokhlin propertytopometric groupstopometric spaces

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) Groups as automorphisms of other structures (22F50)

Related Items (1)

Topological actions of wreath products

Cites Work

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• Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space
• Randomizations of models as metric structures
• Extending partial isomorphisms of graphs
• Some extremely amenable groups
• Extending partial isometries
• On amenability and groups of measurable maps
• Automorphism groups of countable structures and groups of measurable functions
• Continuous and random Vapnik-Chervonenkis classes
• Polish topometric groups
• CONSEQUENCES OF THE EXISTENCE OF AMPLE GENERICS AND AUTOMORPHISM GROUPS OF HOMOGENEOUS METRIC STRUCTURES
• Generic Automorphisms of Homogeneous Structures
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• Connected Polish groups with ample generics
• Group Extensions and Cohomology for Locally Compact Groups. IV
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS
• AUTOMORPHISM GROUPS OF RANDOMIZED STRUCTURES

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