Transitivity in uniform approach theory (Q1864251)
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scientific article; zbMATH DE number 1883651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transitivity in uniform approach theory |
scientific article; zbMATH DE number 1883651 |
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Transitivity in uniform approach theory (English)
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17 March 2003
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A new property, analogous to the non-Archimedean property for metrics, is defined for approach convergence spaces (AUCS) and approach uniform spaces. It is proved that the new subcategories (e.g., uAUCS in AUCS) have nice properties: uAUCS is bireflective in AUCS, it is Cartesian closed and contains UCS as a bicoreflective and bireflective subcategory. A comparison to a similar property for approach Cauchy spaces is given: uACHY is bicoreflective in uAUCS.
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non-Archimedean property
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approach space
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