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On tree ideals

Authors: Martin Goldstern, Miroslav Repický, Saharon Shelah and Otmar Spinas
Journal: Proc. Amer. Math. Soc. 123 (1995), 1573-1581
MSC: Primary 03E05; Secondary 03E40
MathSciNet review: 1233972
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Abstract: Let $ {l^0}$ and $ {m^0}$ be the ideals associated with Laver and Miller forcing, respectively. We show that $ {\mathbf{add}}({l^0}) < {\mathbf{cov}}({l^0})$ and $ {\mathbf{add}}({m^0}) < {\mathbf{cov}}({m^0})$ are consistent. We also show that both Laver and Miller forcing collapse the continuum to a cardinal $ \leq \mathfrak{h}$.

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Article copyright: © Copyright 1995 American Mathematical Society

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