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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 ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.
Eva Matoušková, and Miroslav Zelený. "A note on intersections of non-Haar null sets." Colloquium Mathematicae 96.1 (2003): 1-4. <http://eudml.org/doc/285341>.
@article{EvaMatoušková2003, 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 ∈ G; (g+A) ∩ B is non-Haar null\} is empty. This answers a question posed by Christensen.}, author = {Eva Matoušková, Miroslav Zelený}, journal = {Colloquium Mathematicae}, keywords = {Haar null sets; Polish Abelian groups}, language = {eng}, number = {1}, pages = {1-4}, title = {A note on intersections of non-Haar null sets}, url = {http://eudml.org/doc/285341}, volume = {96}, year = {2003}, }
TY - JOUR AU - Eva Matoušková AU - Miroslav Zelený TI - A note on intersections of non-Haar null sets JO - Colloquium Mathematicae PY - 2003 VL - 96 IS - 1 SP - 1 EP - 4 AB - 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. LA - eng KW - Haar null sets; Polish Abelian groups UR - http://eudml.org/doc/285341 ER -