Closed maximality principles: implications, separations and combinations

I investigate versions of the Maximality Principles for the classes of forcings which are <-closed, <-directed-closed, or of the form Col(, < ). These principles come in many variants, depending on the parameters which are allowed. I shall write MP(A) for the maximality principle for forcings in , with parameters from A. The main results of this paper are:

• Type: Journal
• Year: 2008
• Where: JSYML
• Authors: Gunter Fuchs
• Keywords: Automorphism Tower, Automorphism Tower Problem, JSYML 2008, Maximality Principle