Marginalia to two theorems of Magidor

Speaker
Assaf Rinot, BIU
Date
13/03/2022 - 13:00 - 12:00Add to Calendar 2022-03-13 12:00:00 2022-03-13 13:00:00 Marginalia to two theorems of Magidor   In a paper published at the Annals of Mathematics in 1977, Magidor proved that it is consistent that the first cardinal at which the generalized continuum hypothesis (GCH) fails be the very first singular cardinal Aleph_w. This demonstrates the failure of a compactness property for Aleph_w. In a paper from 1982, Magidor proved that Aleph_w can satisfy yet another compactness property. It remained open ever since whether the two results can coexist in the same model. In this talk, I will report on a joint work with A. Poveda and D. Sinapova in which we obtain the desired model. Seminar rm, Math Bldg 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Seminar rm, Math Bldg 216
Abstract

 

In a paper published at the Annals of Mathematics in 1977,
Magidor proved that it is consistent that the first cardinal at which
the generalized continuum hypothesis (GCH) fails be the very first
singular cardinal Aleph_w. This demonstrates the failure of a
compactness property for Aleph_w. In a paper from 1982, Magidor proved
that Aleph_w can satisfy yet another compactness property. It remained
open ever since whether the two results can coexist in the same model.
In this talk, I will report on a joint work with A. Poveda and D.
Sinapova in which we obtain the desired model.

Last Updated Date : 09/03/2022