Ordered Cauchy spaces (Q1074902)
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scientific article; zbMATH DE number 3949280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ordered Cauchy spaces |
scientific article; zbMATH DE number 3949280 |
Statements
Ordered Cauchy spaces (English)
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1985
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Following the method of \textit{L. Nachbin} [Topology and order (1965; Zbl 0131.379)] for ordered uniform spaces, the authors introduce and study ordered Cauchy spaces. They characterize internally those structures having a reflection in ordered complete Cauchy spaces (in particular, every uniformizable or linearly ordered structure has such a reflection) and investigate ordered compactifications of ordered convergence spaces by means of ordered Cauchy completions.
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uniformizability
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regularity
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total boundedness
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fine completion
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functor
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ordered Cauchy spaces
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reflection in ordered complete Cauchy spaces
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investigate ordered compactifications of ordered convergence
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spaces
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ordered Cauchy completions
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investigate ordered compactifications of ordered convergence spaces
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