Souslin trees and successors of singular cardinals (Q1089334)
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scientific article; zbMATH DE number 4004174
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Souslin trees and successors of singular cardinals |
scientific article; zbMATH DE number 4004174 |
Statements
Souslin trees and successors of singular cardinals (English)
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1986
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It is shown that: cons(ZFC \(+\exists\) supercompact) \(\Rightarrow\) cons(ZFC \(+\forall \lambda\) singular \(\exists\) a \(\lambda^+\) Suslin tree) and cons(\(\exists\) an \(\aleph_{\omega +1}\) Suslin tree and \(\nexists\aleph_{\omega +1}\) special Aronszajn tree). \(\lambda\) \({}^+\) Suslin or Aronszajn trees are also given in case \(\lambda\) is a limit of supercompact cardinals.
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Suslin tree
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Aronszajn tree
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supercompact cardinals
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0.96257544
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0.94255656
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0.9421656
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0.9272003
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0.92246604
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0.9156371
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0.9090283
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0.90796477
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0.9053366
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