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On products of gamma sets

Prelegent(ci)
Tomasz Weiss
Afiliacja
Cardinal Stefan Wyszyński University in Warsaw
Termin
4 listopada 2015 16:15
Pokój
p. 5050
Seminarium
Seminarium „Topologia i teoria mnogości”

I will present the following theorem due to Miller, Tsaban and Zdomsky:It is consistent with ZFC that there are two gamma sets whose cartesian product is not a Menger set. This result answers in the negative the following question: Is the cartesian product of two strongly measure zero sets with Hurewicz property always a Hurewicz set? My presentation is based on the paper "Selective covering properties of product spaces, part 2,gamma spaces", preprint 2013, by A.Miller,B.Tsaban,L.Zdomsky.