Every compact group can have a non-measurable subgroup
Group Theory
2015-03-05 v1 General Topology
Abstract
We show that it is consistent with ZFC that every compact group has a non-Haar-measurable subgroup. In addition, we demonstrate a natural construction, and we conjecture that this construction always produces a non-measurable subgroup of a given compact group. We prove that this is so in the Abelian case.
Keywords
Cite
@article{arxiv.1503.01385,
title = {Every compact group can have a non-measurable subgroup},
author = {W. R. Brian and M. W. Mislove},
journal= {arXiv preprint arXiv:1503.01385},
year = {2015}
}
Comments
5 pages