Custom-made Souslin trees
Speaker:
Ari Brodsky, Bar-Ilan University, Israel
Date and Time:
Monday, May 2, 2016 - 2:30pm to 4:00pm
Location:
Fields Institute, Room 210
Abstract:
We propose a parametrized proxy principle from which $\kappa$-Souslin trees with various additional features can be constructed, regardless of the identity of $\kappa$. We then introduce the microscopic approach, which is a simple method for deriving trees from instances of the proxy principle. As a demonstration, we give a construction of a coherent $\kappa$-Souslin tree that applies also for $\kappa$ inaccessible.