# Ari Brodsky: Custom-made Souslin trees

BGU Seminar in Logic, Set Theory and Topology.

Time: Tuesday, May 24th, 12:30-13:45.

Place: Seminar room -101, Math building 58.
Speaker: (BIU).

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.