Bernstein sets with algebraic properties

DOI10.2478/S11533-009-0053-0zbMath1183.28001OpenAlexW2005504701MaRDI QIDQ2268546

Marcin Kysiak

Publication date: 8 March 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-009-0053-0

zbMATH Keywords

Bernstein setnonmeasurable set\(\kappa \)-covering

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Abelian groups (20K99)

Related Items (7)

On subsets of \(\mathbb{R}^n\) spanning it via positive integers as multipliers ⋮ \(Cp (X)\) for Hattori spaces ⋮ Unnamed Item ⋮ A Plünnecke-Ruzsa inequality in compact abelian groups ⋮ Images of Bernstein sets via continuous functions ⋮ Semigroups of pathological sets ⋮ Some property of sets in the real line and the Lebesgue measurability

Cites Work

• A generalization of Steinhaus' theorem and some nonmeasurable sets
• On translations of subsets of the real line
• Hamel-isomorphic images of the unit ball
• Some topological properties of ω-covering sets
• Bernstein sets andκ-coverings
• Application of covering sets
• Nonmeasurable algebraic sums of sets of reals
• Strong Measure Zero and Strongly Meager Sets

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