Lowness for genericity (Q818521)
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scientific article; zbMATH DE number 5013640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lowness for genericity |
scientific article; zbMATH DE number 5013640 |
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Lowness for genericity (English)
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21 March 2006
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Starting from the Nitzpon's definition of lowness for 1-genericity, the author shows that there is no Turing degree which is low for 1-genericity. He also proves partially Nitzpron's conjecture: the hyperimmune-free degrees are the same as the degrees low for weak 1-genericity. So, with Miller, the author proves that every computable traceable degree is low for weak 1-genericity.
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Turing degree structures
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