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Preprint Number 1296

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1296. Adam J. Przeździecki, Piotr Szewczak, Boaz Tsaban
The Haar Measure Problem

Submission date: 7 September 2017


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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Full text arXiv 1709.02312: pdf, ps.

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