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.