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arXiv · 1503.01385

Every compact group can have a non-measurable subgroup

W. R. Brian·M. W. Mislove
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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.

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W. R. Brian, M. W. Mislove. 2015-03-04. Every compact group can have a non-measurable subgroup. https://arxiv.org/abs/1503.01385

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