Can partial indexings be totalized? (Q2758051)
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scientific article; zbMATH DE number 1679324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Can partial indexings be totalized? |
scientific article; zbMATH DE number 1679324 |
Statements
Can partial indexings be totalized? (English)
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2 October 2002
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domain
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constructive domain
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total indexing
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total numbering
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effective topological space
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In computability theory, the non-existence of good total numberings of the family of total computable functions is considered as inevitable. The author studies this problem for some generalizations of this situation, namely for canonical numberings of effectively given topological \(T_0\)-spaces, and finds out that they could be equivalent to a total indexing. Related problems are also considered.
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