The Haar measure problem

Speaker(s)

Piotr Szewczak

Affiliation

Cardinal Stefan Wyszyński University in Warsaw

Date

March 21, 2018, 4:15 p.m.

Room

room 5050

Seminar

Topology and Set Theory Seminar

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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. This is a joint work with Adam Przeździecki and Boaz Tsaban.

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