Separation axioms and partitions of the set of natural numbers (Q1334426)
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scientific article; zbMATH DE number 641336
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separation axioms and partitions of the set of natural numbers |
scientific article; zbMATH DE number 641336 |
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Separation axioms and partitions of the set of natural numbers (English)
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5 October 1994
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The following question is investigated. Given an equivalence relation \(\mu\) on the set of natural numbers, under what conditions are its equivalence classes separated by recursive (or recursively enumerable) sets which are closed under \(\mu\)? It is shown that the answer is closely related to the properties of the topological space generated by the recursive (or recursively enumerable) sets that are closed under \(\mu\).
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recursive separation
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equivalence relation
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topological space
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