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.

---