Constructing Souslin trees without diamond
Ari Meir Brodsky (BIU)
13/01/2020 - 15:00 - 13:00
Area 502, Room 37
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.