On the size of closed unbounded sets (Q1182481)
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scientific article; zbMATH DE number 31348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the size of closed unbounded sets |
scientific article; zbMATH DE number 31348 |
Statements
On the size of closed unbounded sets (English)
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28 June 1992
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The problem of determining the size of the closed unbounded subsets of \([\lambda]^{<\kappa}\) is reduced to the study of certain stationary sets and further related to combinatorial principles \(Q_ 1\) and \(Q_ 2\) and the notion of \(\alpha\)-remarkable cardinals (a weakening of \(\alpha\)-Erdős). Consistency and independence results are obtained connecting these principles to Jensen's \(\square\)-principles.
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box-principles
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stationary sets
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combinatorial principles
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\(\alpha\)- remarkable cardinals
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0.9022285
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0.8748528
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