A note on intersections of non-Haar null sets

• Autorzy: Eva Matoušková , Miroslav Zelený
• Języki publikacji: EN

Abstrakty

EN

We show that in every Polish, abelian, non-locally compact group G there exist non-Haar null sets A and B such that the set {g ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.

Kategorie tematyczne

• 43A05: Measures on groups and semigroups, etc.
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 96
• Numer: 1
• Strony: 1-4

Daty

wydano

2003

Twórcy

autor

Eva Matoušková

• Mathematical Institute, Czech Academy of Sciences, Žitná 25, Praha 115 67, Czech Republic

autor

Miroslav Zelený

• Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Praha 186 00, Czech Republic

Identyfikatory

DOI

10.4064/cm96-1-1