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On products of gamma sets

Speaker(s)
Tomasz Weiss
Affiliation
Cardinal Stefan Wyszyński University in Warsaw
Date
Nov. 4, 2015, 4:15 p.m.
Room
room 5050
Seminar
Topology and Set Theory Seminar

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.