Custom-made Souslin trees
Ari Brodsky (BIU)
Tuesday, May 24, 2016, 12:30 – 13:45, Math -101
Abstract:
We propose a parameterized 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.