A note on intersections of non-Haar null sets
Volume 96 / 2003
Colloquium Mathematicum 96 (2003), 1-4
MSC: 28A05, 43A05.
DOI: 10.4064/cm96-1-1
Abstract
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\in G;\, (g+A) \cap B \hbox { is non-Haar null}\} $ is empty. This answers a question posed by Christensen.
