Non Archimedean metric induced fuzzy uniform spaces (Q1825464)
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scientific article; zbMATH DE number 4121000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non Archimedean metric induced fuzzy uniform spaces |
scientific article; zbMATH DE number 4121000 |
Statements
Non Archimedean metric induced fuzzy uniform spaces (English)
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1989
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The category of non-Archimedean metric spaces with non-expansive maps is embedded as a coreflective, non-bireflective subcategory of the fuzzy uniform spaces. Relations between the original metric space and its image are established for compactness, total boundedness, and completeness. The image of the completion is isomorphic to the ultracompletion of the image with the isomorphism described explicitly.
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non-Archimedean metric spaces
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non-expansive maps
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coreflective, non- bireflective subcategory
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fuzzy uniform spaces
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compactness
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total boundedness
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completeness
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ultracompletion
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