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| Title: | Two subcategories of apartness spaces |
| Authors: | Ishihara, Hajime |
| Keywords: | constructive mathematics
neighbourhood space
uniform space
apartness space
adjunction |
| Issue Date: | 2011-07-20 |
| Publisher: | Elsevier |
| Magazine name: | Annals of Pure and Applied Logic |
| Volume: | 163 |
| Number: | 2 |
| Start page: | 132 |
| End page: | 139 |
| DOI: | 10.1016/j.apal.2011.06.022 |
| 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. |
| Rights: | NOTICE: This is the author's version of a work accepted for publication by Elsevier. Hajime Ishihara, Annals of Pure and Applied Logic, 163(2), 2011, 132-139, http://dx.doi.org/10.1016/j.apal.2011.06.022 |
| URI: | http://hdl.handle.net/10119/10606 |
| Material Type: | author |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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