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2010

Additivity of the two-dimensional Miller ideal

13 years 11 months ago
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.
Otmar Spinas, Sonja Thiele
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2010
Where AML
Authors Otmar Spinas, Sonja Thiele
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