A note on intersections of non-Haar null sets

Eva Matoušková; Miroslav Zelený

Colloquium Mathematicae (2003)

  • Volume: 96, Issue: 1, page 1-4
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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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 -

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