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arXiv · 1709.02312

The Haar Measure Problem

Adam J. Przeździecki·Piotr Szewczak·Boaz Tsaban
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Abstract

An old problem asks whether every compact group has a Haar-nonmeasurable subgroup. A series of earlier results reduce the problem to infinite metrizable profinite groups. We provide a positive answer, assuming a weak, potentially provable, consequence of the Continuum Hypothesis. We also establish the dual, Baire category analogue of this result.

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Adam J. Przeździecki, Piotr Szewczak, Boaz Tsaban. 2017-09-07. The Haar Measure Problem. https://arxiv.org/abs/1709.02312

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