Dirichlet sets, Erdős-Kunen-Mauldin theorem, and analytic subgroups of the reals

DOI10.1090/S0002-9939-2010-10639-1zbMath1222.28002OpenAlexW2009470011MaRDI QIDQ3005621

Peter Eliaš

Publication date: 9 June 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10639-1

zbMATH Keywords

Kronecker's theorempermitted setsDirichlet setsanalytic subgroups of the realsErdős-Kunen-Mauldin theorem

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Topological groups (topological aspects) (54H11) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (3)

Characterized subgroups of the circle group ⋮ Dirichlet sets vs characterized subgroups ⋮ Factorizable subgroups of the circle group

Cites Work

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• Thin sets of harmonic analysis and infinite combinatorics
• The absolute convergence of trigonometrical series
• Universally meager sets
• Some additive properties of sets of real numbers
• Covering analytic sets by families of closed set
• Analytic subgroups of the reals
• The algebraic sum of sets of real numbers with strong measure zero sets
• Covering for category and trigonometric thin sets
• Not every $Q$-set is perfectly meager in the transitive sense
• Sur l'ensemble de convergence absolue d'une série trigonométrique

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