On non-Archimedean Polish groups with two-sided invariant metrics

DOI10.1016/j.topol.2013.10.034zbMath1323.03063OpenAlexW2003717704MaRDI QIDQ386219

Mingzhi Xuan, Su Gao

Publication date: 9 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.10.034

zbMATH Keywords

abelian groupuniversalnon-Archimedian Polish groupsurjectively universaltwo-sided invariant metric

Mathematics Subject Classification ID

Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (6)

Metrical universality for groups ⋮ A generalization of the 𝔾0 dichotomy and a strengthening of the 𝔼0ℕ dichotomy ⋮ Abelian pro-countable groups and non-Borel orbit equivalence relations ⋮ Non-Archimedean abelian Polish groups and their actions ⋮ Abelian pro-countable groups and orbit equivalence relations ⋮ Elementary totally disconnected locally compact groups

Cites Work

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• Graev ultrametrics and surjectively universal non-Archimedean Polish groups
• Graev metric groups and Polishable subgroups
• Free non-archimedean topological groups
• On Polish groups admitting a compatible complete left-invariant metric
• New Dichotomies for Borel Equivalence Relations
• Polish group actions: Dichotomies and generalized elementary embeddings
• Invariant Metrics in Groups (Solution of a Problem of Banach)
• Profinite Groups

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