A contrast to the low basis theorem (Q1849857)
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scientific article; zbMATH DE number 1838861
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A contrast to the low basis theorem |
scientific article; zbMATH DE number 1838861 |
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A contrast to the low basis theorem (English)
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2 December 2002
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In the paper the author proves the existence of a perfect \(\Pi^{0}_{1}\) set of reals such that the uniform join of any of its infinite subsets is above \(0'\). It is also shown how this demonstrates the optimality of the Low Basis Theorem.
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perfect \(\Pi^{0}_{1}\) set of reals
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low basis theorem
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0.8053869
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0.7999031
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