Sacks forcing, Laver forcing, and Martin's axiom
- Cite this article as:
- Judah, H., Miller, A.W. & Shelah, S. Arch Math Logic (1992) 31: 145. doi:10.1007/BF01269943
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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 ideals0. 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.