Abelian pro-countable groups and orbit equivalence relations

DOI10.4064/fm987-1-2016zbMath1345.54032arXiv1405.0693OpenAlexW2963042104MaRDI QIDQ2787133

Maciej Malicki

Publication date: 24 February 2016

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0693

zbMATH Keywords

abelian groupsorbit equivalence relationsnon-locally compact Polish groupsprocountable groupsquasicountable groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Topological methods for abelian groups (20K45)

Related Items (4)

Automorphism groups of countable structures and groups of measurable functions ⋮ Abelian pro-countable groups and non-Borel orbit equivalence relations ⋮ Non-Archimedean abelian Polish groups and their actions ⋮ On Polish groups admitting non-essentially countable actions

Cites Work

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• Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties
• On the classification of Polish metric spaces up to isometry
• Equivalence Relations Induced by Actions of Polish Groups

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