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Sacks forcing, Laver forcing, and Martin's axiom
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 cardinalsLinks
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Citations of this work
Antichains of perfect and splitting trees.Paul Hein & Otmar Spinas - 2020 - Archive for Mathematical Logic 59 (3-4):367-388.
Silver antichains.Otmar Spinas & Marek Wyszkowski - 2015 - Journal of Symbolic Logic 80 (2):503-519.
Strongly dominating sets of reals.Michal Dečo & Miroslav Repický - 2013 - Archive for Mathematical Logic 52 (7-8):827-846.
No Tukey reduction of Lebesgue null to Silver null sets.Otmar Spinas - 2018 - Journal of Mathematical Logic 18 (2):1850011.
References found in this work
Iterated perfect-set forcing.James E. Baumgartner & Richard Laver - 1979 - Annals of Mathematical Logic 17 (3):271-288.
On the Consistency of Some Partition Theorems for Continuous Colorings, and the Structure of ℵ 1 -Dense Real Order Types.J. Steprans, Uri Abraham, Matatyahu Rubin & Saharon Shelah - 2002 - Bulletin of Symbolic Logic 8 (2):303.
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