Categoricity in hyperarithmetical degrees (Q1821772)
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scientific article; zbMATH DE number 3999897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Categoricity in hyperarithmetical degrees |
scientific article; zbMATH DE number 3999897 |
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Categoricity in hyperarithmetical degrees (English)
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1987
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We obtain, under certain assumptions, necessary and sufficient conditions for a recursive structure to be \(\Delta^ 0_{\alpha}\)-categorical. This is done using the author's \(\alpha\)-systems to construct suitable \(\Delta^ 0_{\alpha +1}\) functions. We show how these results may be applied, for example, to superatomic Boolean algebras.
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recursive structure
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superatomic Boolean algebras
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