The nonstationary ideal on \(\aleph _ 2\) (Q1057260)
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scientific article; zbMATH DE number 3896910
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The nonstationary ideal on \(\aleph _ 2\) |
scientific article; zbMATH DE number 3896910 |
Statements
The nonstationary ideal on \(\aleph _ 2\) (English)
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1984
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We construct a model in which the filter of \(\omega\)-closed unbounded subsets of \(\aleph_ 2\) is precipitous and a model in which the filter of closed unbounded subsets of \(\aleph_ 2\) 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.
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precipitous ideal
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precipitous filter
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measurable cardinal
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