The connection between ladder system uniformization and the Whitehead problem, part 1

Seminar
Speaker
Márk Poór (HUJI)
Date
22/09/2022 - 18:00 - 16:00Add to Calendar 2022-09-22 16:00:00 2022-09-22 18:00:00 The connection between ladder system uniformization and the Whitehead problem, part 1 We give a brief overview on what had been already known, and present our new result asserting that (appropriate) uniformization principles grant not only the existence of almost free but non-free Whitehead groups, but imply that each strongly $\aleph_1$ abelian group of power $\aleph_1$ has the Whitehead property. This is joint work with S. Shelah (paper #486 in Shelah's list). Seminar room אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Seminar room
Abstract

We give a brief overview on what had been already known, and present our new result asserting that (appropriate) uniformization principles grant not only the existence of almost free but non-free Whitehead groups, but imply that each strongly $\aleph_1$ abelian group of power $\aleph_1$ has the Whitehead property. This is joint work with S. Shelah (paper #486 in Shelah's list).

Last Updated Date : 19/10/2022