Constructing Souslin trees without diamond
Seminar
Speaker
Ari Meir Brodsky (BIU)
Date
13/01/2020 - 15:00 - 13:00Add to Calendar
2020-01-13 13:00:00
2020-01-13 15:00:00
Constructing Souslin trees without diamond
We present an introduction to the subject of constructing Souslin trees and the challenges involved, focusing on our uniform construction of Souslin trees (at arbitrary uncountable regular cardinals) using the "microscopic approach". We will show that the constructions following this approach can be carried out even in the absence of diamond, providing a significant improvement at the level of a strongly inaccessible cardinal.
This is joint work with Assaf Rinot.
Area 502, Room 37
אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Area 502, Room 37
Abstract
We present an introduction to the subject of constructing Souslin trees and the challenges involved, focusing on our uniform construction of Souslin trees (at arbitrary uncountable regular cardinals) using the "microscopic approach". We will show that the constructions following this approach can be carried out even in the absence of diamond, providing a significant improvement at the level of a strongly inaccessible cardinal.
This is joint work with Assaf Rinot.
תאריך עדכון אחרון : 09/01/2020
