Finding generic filters by playing games

We give some restrictions for the search for a model of the club principle with no Souslin trees. We show that (2, [], is almost constant on) together with CH and "all Aronszajn trees are special" is consistent relative to ZFC. This implies the analogous result for a double weakening of the club principle. Keywords Club principle

• Type: Journal
• Year: 2010
• Where: AML
• Authors: Heike Mildenberger
• Keywords: AML 2010, Club Principle, Keywords Club Principle, Souslin Trees