Sacks forcing, Laver forcing, and Martin's axiom

Haim Judah*, Arnold W. Miller, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

In this paper we study the question assuming MA+{top right corner}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 ideal s0. 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.

Original languageEnglish
Pages (from-to)145-161
Number of pages17
JournalArchive for Mathematical Logic
Volume31
Issue number3
DOIs
StatePublished - May 1992

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