Admissibility spectra through \(\omega _ 1\) (Q1097878)
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scientific article; zbMATH DE number 4035816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Admissibility spectra through \(\omega _ 1\) |
scientific article; zbMATH DE number 4035816 |
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Admissibility spectra through \(\omega _ 1\) (English)
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1987
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Jensen showed that any countable sequence A of countable A-admissibles is the initial part of admissibility spectrum of a real. We consider \(\omega_ 1\)-long sequences, to be realized by \(B\subseteq \omega_ 1\). The problem is similar to finding a club subset of a stationary set. We investigate when such a B can be forced and when one is already in V.
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admissibles
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admissibility spectrum
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stationary set
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