| 05-27 | Berichtsreihe des Mathematischen Seminars der Universität Kiel | |
Otmar Spinas, Sonja Thiele:Additivity of the two-dimensional Miller idealLet $\J(\miller^2)$ denote the $\s$-ideal associated with two-dimensional Miller forcing. We show that it is relatively consistent with ZFC that the additivity of $\J(\miller^2)$ is bigger than the covering number of the ideal of the meager subsets of $\baire$. We also show that Martin's Axiom implies that the additivity of $\J(\miller^2)$ is $2^{\o}$. Finally we prove that there are no analytical infinite maximal antichains in any finite product of $\pf$.Mathematics Subject Classification (1991): 03E15, 03E17, 03E50 Keywords: Miller forcing, Mathias forcing, forcing ideal, Cohen real
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Mail an Jens Burmeister |
[Thu Feb 19 18:56:37 2009] |
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