A Polish group containing a Haar null $F_\sigma$-subgroup that cannot be enlarged to a Haar null $G_\delta$-set
General Topology
2021-11-01 v1 Group Theory
Abstract
Answering a question of Elekes and Vidny\'anszky, we construct a Polish meta-abelian group and a subgroup , which is a Haar null -set in that cannot be enlarged to a Haar null -set.
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Cite
@article{arxiv.1604.00150,
title = {A Polish group containing a Haar null $F_\sigma$-subgroup that cannot be enlarged to a Haar null $G_\delta$-set},
author = {Taras Banakh},
journal= {arXiv preprint arXiv:1604.00150},
year = {2021}
}
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2 pages