Abstract
We show that there is no addition preserving Erdős-Sierpiński mapping on any uncountable locally compact abelian Polish group. This generalizes results of Bartoszyński and Kysiak.
Citation
Richárd Balka. "Duality between Measure and Category in Uncountable Locally Compact Abelian Polish Groups." Real Anal. Exchange 36 (2) 245 - 256, 2010/2011.
Information
Published: 2010/2011
First available in Project Euclid: 11 November 2011
zbMATH: 1250.03078
MathSciNet: MR3016714
Subjects:
Primary:
03E15
,
22B05
Secondary:
28A99
Keywords:
category
,
Duality
,
Erdős-Sierpiński mapping
,
LCA groups
,
measure
Rights: Copyright © 2010 Michigan State University Press
