On cardinality of semilattices of enumerations of nondiscrete families (Q1335928)
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scientific article; zbMATH DE number 652192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On cardinality of semilattices of enumerations of nondiscrete families |
scientific article; zbMATH DE number 652192 |
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On cardinality of semilattices of enumerations of nondiscrete families (English)
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8 November 1994
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The author proves the following theorem: Let a family \(\mathcal A\) of r.e. sets contain a pair of sets \(A \subset B\). Then the semilattice \(L({\mathcal A})\) of enumerations of \(\mathcal A\) is infinite if there exists a recursive set \(R\) such that \(A \subseteq R \subseteq B\). Two corollaries are also given.
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semilattices of enumerations
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infinity
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