Nonbounding and Slaman triples (Q1919544)
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scientific article; zbMATH DE number 908471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonbounding and Slaman triples |
scientific article; zbMATH DE number 908471 |
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Nonbounding and Slaman triples (English)
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23 July 1996
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The problem of definability of jump classes \(L_n\) and \(H_n\), \(n\in \mathbb{N}\), in the recursively enumerable degrees \({\mathbf R}\) is studied. Earlier, Nies, Shore and Slaman solved this problem for \(n\geq 3\). The author proves that the property of not bounding the base of a so-called Slaman triple cannot define any jump class.
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definability of jump classes
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recursively enumerable degrees
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Slaman triple
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0.7620041370391846
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0.7569565773010254
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0.75600665807724
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