Connected Polish groups with ample generics

DOI10.1112/BLMS/BDV078zbMath1373.03081arXiv1503.04298OpenAlexW3102850952MaRDI QIDQ3458424

Adriane Kaïchouh, François Le Maître

Publication date: 18 December 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04298

zbMATH Keywords

ample genericsconnected Polish groupstype III ergodic equivalence relationtype III full groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Descriptive set theory (03E15) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (9)

Concentration of measure, classification of submeasures, and dynamics of \(L_0\) ⋮ Automorphism groups of countable structures and groups of measurable functions ⋮ Ordered structures and large conjugacy classes ⋮ AUTOMORPHISM GROUPS OF RANDOMIZED STRUCTURES ⋮ Infinitesimal topological generators and quasi non-Archimedean topological groups ⋮ Polish groups and Baire category methods ⋮ An example of a non non-archimedean Polish group with ample generics ⋮ Isometry groups of Borel randomizations ⋮ Orbit full groups for locally compact groups

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