Archive for Mathematical Logic 31 (3):145-161 (1992)

Abstract
In this paper we study the question assuming MA+⌝CH does Sacks forcing or Laver forcing collapse cardinals? We show that this question is equivalent to the question of what is the additivity of Marczewski's ideals 0. We give a proof that it is consistent that Sacks forcing collapses cardinals. On the other hand we show that Laver forcing does not collapse cardinals
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DOI 10.1007/BF01269943
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References found in this work BETA

Happy Families.A. R. D. Mathias - 1977 - Annals of Pure and Applied Logic 12 (1):59.
Iterated Perfect-Set Forcing.James E. Baumgartner & Richard Laver - 1979 - Annals of Mathematical Logic 17 (3):271-288.
Near Coherence of Filters. III. A Simplified Consistency Proof.Andreas Blass & Saharon Shelah - 1989 - Notre Dame Journal of Formal Logic 30 (4):530-538.

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Citations of this work BETA

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Combinatorial Properties of Classical Forcing Notions.Jörg Brendle - 1995 - Annals of Pure and Applied Logic 73 (2):143-170.
Happy Families and Completely Ramsey Sets.Pierre Matet - 1993 - Archive for Mathematical Logic 32 (3):151-171.

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