On the delta-strongly compact cardinal, part 1

Seminar
Speaker
Zhixing You (BIU)
Date
25/08/2022 - 18:00 - 16:00Add to Calendar 2022-08-25 16:00:00 2022-08-25 18:00:00 On the delta-strongly compact cardinal, part 1 Bagaria and Magidor introduced a weak version of strong compactness, δ-strong compactness, which characterizes some compactness properties successfully. Besides, they also find that the least δ-strongly compact cardinal has odd properties. For example, the least δ-strongly compact cardinal may be singular, which separates δ-strong compactness from strong compactness. In this series of talk, we will explore some basic properties of δ-strongly compact cardinals, and identity crisis phenomenon among δ-strongly compact cardinals for different δ. This is joint work with Jiachen Yuan.   TBD אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
TBD
Abstract

Bagaria and Magidor introduced a weak version of strong compactness, δ-strong compactness, which characterizes some compactness properties successfully.
Besides, they also find that the least δ-strongly compact cardinal has odd properties. For example, the least δ-strongly compact cardinal may be singular, which separates δ-strong compactness from strong compactness.

In this series of talk, we will explore some basic properties of δ-strongly compact cardinals, and identity crisis phenomenon among δ-strongly compact cardinals for different δ.

This is joint work with Jiachen Yuan.
 

Last Updated Date : 17/08/2022