Universal forcing notions and ideals

The main result of this paper is a partial answer to [7, Problem 5.5]: a finite iteration of Universal Meager forcing notions adds generic filters for many forcing notions determined by universality parameters. We also give some results concerning cardinal characteristics of the σ–ideals determined by those universality parameters.

• Type: Journal
• Year: 2007
• Where: AML
• Authors: Andrzej Roslanowski, Saharon Shelah
• Keywords: AML 2007, Partial Answer, Universal Meager, Universality Parameters