Geodesic
A note on intersections of non-Haar null sets
Eva Matoušková1 ; Miroslav Zelený2
1Mathematical Institute Czech Academy of Sciences Žitná 25 Praha 115 67, Czech Republic
2Faculty of Mathematics and Physics Charles University Sokolovská 83 Praha 186 00, Czech Republic
Colloquium Mathematicum, Tome 96 (2003) no. 1, pp. 1-4
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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.
DOI : 10.4064/cm96-1-1
Keywords: every polish abelian non locally compact group there exist non haar null sets set cap hbox non haar null empty answers question posed christensen

Eva Matoušková  1   ; Miroslav Zelený  2

1 Mathematical Institute Czech Academy of Sciences Žitná 25 Praha 115 67, Czech Republic
2 Faculty of Mathematics and Physics Charles University Sokolovská 83 Praha 186 00, Czech Republic 
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Eva Matoušková; Miroslav Zelený. A note on intersections of non-Haar null sets. Colloquium Mathematicum, Tome 96 (2003) no. 1, pp. 1-4. doi: 10.4064/cm96-1-1

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