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 language | English |
---|---|
Pages (from-to) | 145-161 |
Number of pages | 17 |
Journal | Archive for Mathematical Logic |
Volume | 31 |
Issue number | 3 |
DOIs | |
State | Published - May 1992 |