Borel subgroups of Polish groups

DOI10.1016/j.aim.2005.07.009zbMath1100.03039OpenAlexW2093253442MaRDI QIDQ2576992

Ilijas Farah, Slawomir Solecki

Publication date: 29 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.aim.2005.07.009

zbMATH Keywords

Polish groupsmaximal divisible subgroupsBorel complexity of subgroupsdensely divisible groupsPolishable subgroups

Mathematics Subject Classification ID

Descriptive set theory (03E15) Topological groups (topological aspects) (54H11)

Related Items (9)

Haar meager sets revisited ⋮ Graev metric groups and Polishable subgroups ⋮ Naively Haar null sets in Polish groups ⋮ Beyond Lebesgue and Baire. III: Steinhaus' theorem and its descendants ⋮ Chief factors in Polish groups ⋮ On separable Banach subspaces ⋮ On the Borel complexity of characterized subgroups ⋮ Transfinite sequences of topologies, descriptive complexity, and approximating equivalence relations ⋮ 10th Asian Logic Conference

Cites Work

• Espaces à modèle séparable
• Borel equivalence relations induced by actions of the symmetric group
• Analytic ideals and their applications
• Back and forth relations for reduced abelian \(p\)-groups
• Note on extensions of Abelian groups by primary groups
• On the Borelian and Projective Types of Linear Subspaces.
• A Partition Theorem For Perfect Sets
• Non singular transformations and spectral analysis of measures
• Ulm's Theorem for Partially Ordered Structures Related to Simply Presented Abelian p-Groups
• Vaught’s conjecture and the Glimm-Effros property for Polish transformation groups
• Algebraic independence and measure
• The classification of hypersmooth Borel equivalence relations
• Independent sets in topological algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Borel subgroups of Polish groups