On the Cauchy difference of functions bounded modulo \(\mathbb{Z}\) on ``large sets

DOI10.1007/s00010-020-00744-zzbMath1480.39021OpenAlexW3062223657MaRDI QIDQ2662884

Eliza Jabłońska

Publication date: 15 April 2021

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

Full work available at URL: https://doi.org/10.1007/s00010-020-00744-z

zbMATH Keywords

Cauchy differenceHaar-meager setChristensen zero setreal Polish vector spaceuniversal Baire property

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Categorical methods in general topology (54B30) Functional equations for functions with more general domains and/or ranges (39B52) Orthogonal additivity and other conditional functional equations (39B55)

Related Items

On linear functional equations modulo \({\mathbb{Z}} \)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Haar meager sets
• Some analogies between Haar meager sets and Haar null sets in abelian Polish groups
• On a theorem of van der Corput
• Orthogonality and additivity modulo \(\mathbb{Z}\)
• On functionals which are orthogonally additive modulo \(\mathbb{Z}\)
• On sets of Haar measure zero in abelian Polish groups
• Christensen Zero Sets and Measurable Convex Functions
• Remarks on Analogies Between Haar Meager Sets and Haar Null Sets
• Remarks on a Theorem of E. J. McShane