Andrzej Starosolski
Andrzej Starosolski: The Rudin-Keisler ordering of P-points under b=c
09/05/18 17:24
Tuesday, May 15, 2018 17:15
Room: D1-215
Speaker: Andrzej Starosolski
Title: The Rudin-Keisler ordering of P-points under b=c
Abstract. M. E. Rudin proved under CH that for each P-point there exists another P-point strictly RK-greater. Assuming \(\mathfrak p = \mathfrak c \), A. Blass showed the same; moreover, he proved that each RK-increasing \(\omega\)-sequence of P-points is upper bounded by a P-point, and that there is an order embedding of the real line into the class of P-points with respect to the RK-preordering. He also asked what ordinals can be embedded in the set of P-points.
In my talk the results cited above are proved and the mentioned question is answered under a (weaker) assumption \(\mathfrak b =\mathfrak c\).
Room: D1-215
Speaker: Andrzej Starosolski
Title: The Rudin-Keisler ordering of P-points under b=c
Abstract. M. E. Rudin proved under CH that for each P-point there exists another P-point strictly RK-greater. Assuming \(\mathfrak p = \mathfrak c \), A. Blass showed the same; moreover, he proved that each RK-increasing \(\omega\)-sequence of P-points is upper bounded by a P-point, and that there is an order embedding of the real line into the class of P-points with respect to the RK-preordering. He also asked what ordinals can be embedded in the set of P-points.
In my talk the results cited above are proved and the mentioned question is answered under a (weaker) assumption \(\mathfrak b =\mathfrak c\).