On a Roelcke-precompact Polish group that cannot act transitively on a complete metric space

DOI10.1007/s11856-018-1638-8zbMath1400.37030arXiv1510.00238OpenAlexW2963227594MaRDI QIDQ1650009

Itaï Ben Yaacov

Publication date: 29 June 2018

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

Full work available at URL: https://arxiv.org/abs/1510.00238

zbMATH Keywords

complete metric spacetransitive group actionBohr compactificationPolish groupRoelcke-precompact topological group

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items

Glasner's problem for Polish groups with metrizable universal minimal flow, AUTOMORPHISM GROUPS OF RANDOMIZED STRUCTURES, Amenability, definable groups, and automorphism groups, Infinite-dimensional Polish groups and property (T), Maximal equivariant compactification of the Urysohn spaces and other metric structures, The dynamical hierarchy for Roelcke precompact Polish groups, Fixed points in compactifications and combinatorial counterparts, Polish topologies on groups of non-singular transformations

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