The nonstationary ideal on א2

Moti Gitik*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We construct a model in which the filter of ω-closed unbounded subsets of א2 is precipitous and a model in which the filter of closed unbounded subsets of א2 is precipitous. For the first model we need a measurable cardinal, and for the second a measurable cardinal of order 2. Both results are equiconsistent.

Original languageEnglish
Pages (from-to)257-288
Number of pages32
JournalIsrael Journal of Mathematics
Issue number4
StatePublished - Dec 1984
Externally publishedYes


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