Duality between measure and category in uncountable locally compact abelian Polish groups

Details Duality between measure and category in uncountable locally compact abelian Polish groups Duality between measure and category in uncountable locally compact abelian Polish groups

2012-03-26

arxiv.org/abs/1203.5840v1

Real Anal. Exchange 36 (2010/11), no. 2, 245--256

Mathematics

Classical Analysis and ODEs

Scientific paper

We show that there is no addition preserving Erd\H{o}s-Sierpi\'nski mapping
on any uncountable locally compact abelian Polish group. This generalizes
results of Bartoszy\'nski and Kysiak.

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