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

top
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

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.