Kurt Gödel Research Center

2015 seminar talk: Properties intermediate between master and strong master

Talk held by David Chodounský (Academy of Sciences of the Czech Republic) at the KGRC seminar on 2015-07-09.

Abstract

In our recent joint work J. Zapletal, we explored a portfolio of forcing properties, which are based on the notion of a Φ-master condition. Being Φ-master is in general a property intermediate between being a master and strongly master condition (in the sense of Mitchell). The main example is the so called Y-master condition, which gives rise to the Y-proper forcing notions. This approach enables us uncovers some new interesting techniques with useful applications.