Additivity of the two-dimensional Miller ideal

Let J (M2 ) denote the -ideal associated with two-dimensional Miller forcing. We show that it is relatively consistent with ZFC that the additivity of J (M2 ) is bigger than the covering number of the ideal of the meager subsets of . We also show that Martin's Axiom implies that the additivity of J (M2 ) is 2 . Finally we prove that there are no analytic infinite maximal antichains in any finite product of P()/fin.

• Type: Journal
• Year: 2010
• Where: AML
• Authors: Otmar Spinas, Sonja Thiele
• Keywords: AML 2010, Covering Number, Meager Subsets, Two-dimensional Miller