Two subcategories of apartness spaces |
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Authors: | Hajime Ishihara |
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Institution: | School of Information Science, Japan Advanced Institute of Science and Technology, Nomi, Ishikawa 923-1292, Japan |
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Abstract: | We introduce the notion of a topological quasi-apartness space and the notion of a uniform quasi-apartness space, and construct an adjunction between the category of topological quasi-apartness spaces and the category of neighbourhood spaces, and an adjunction between the category of uniform spaces and the category of uniform quasi-apartness spaces. |
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Keywords: | 03F65 54E05 |
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