Some applications of illfoundedness (Q1913295)
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scientific article; zbMATH DE number 881126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some applications of illfoundedness |
scientific article; zbMATH DE number 881126 |
Statements
Some applications of illfoundedness (English)
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24 July 1996
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It is possible to completely characterize which countable models generated by \(0^\#\) exist in \(\mathbb{L}\). This in turn has applications in the study of analytic equivalence relations; for instance, if \(E\) is \(\Sigma^1_1\) and every invariant \(\Sigma^1_1(0^\#)\) set is \({\underset\sim\Delta}^1_1\), then \(E\) has at most \(\aleph_0\) many equivalence classes.
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sharps
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analytic equivalence relations
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0.7106526494026184
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0.7101896405220032
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