Non-Archimedean abelian Polish groups and their actions

DOI10.1016/j.aim.2016.11.019zbMath1423.03174arXiv1512.07677OpenAlexW2963245506MaRDI QIDQ502646

Longyun Ding, Su Gao

Publication date: 5 January 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07677

zbMATH Keywords

tamenessBorel equivalence relationPolish groupBorel reducibilityorbit equivalence relationessentially countable orbit equivalence relationessentially hyperfinite orbit equivalence relationnon-Archimedean Polish groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items

Abelian group actions and hypersmooth equivalence relations ⋮ On height of group trees on tame abelian product groups ⋮ Actions of tame abelian product groups ⋮ $\sigma $-lacunary actions of Polish groups

Cites Work

• On non-Archimedean Polish groups with two-sided invariant metrics
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• Recent developments in the theory of Borel reducibility
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• Free non-archimedean topological groups
• Abelian pro-countable groups and non-Borel orbit equivalence relations
• New Dichotomies for Borel Equivalence Relations
• Equivalence Relations Induced by Actions of Polish Groups
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