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The Haar measure problem

Prelegent(ci)
Piotr Szewczak
Afiliacja
Cardinal Stefan Wyszyński University in Warsaw
Termin
21 marca 2018 16:15
Pokój
p. 5050
Seminarium
Seminarium „Topologia i teoria mnogości”

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.