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A NOTE ON THE RELATIONSHIP BETWEEN HUTTON'S QUASI-UNIFORMITIES AND SHI'S QUASI-UNIFORMITIES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 9، دوره 10، شماره 4، پاییز 2013، صفحه 119-124 اصل مقاله (393.52 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1051 | ||
نویسنده | ||
Yueli Yue ![]() | ||
Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China | ||
چکیده | ||
This note studies the relationship between Hutton's quasi-uniformities and Shi's quasi-uniformities. It is shown that when $L$ satisfies``multiple choice principle" for co-prime elements, the category of Hutton's quasi-uniform spaces is a bireflective full subcategory of the category of Shi's quasi-uniform spaces. Especially, if the remote-neighborhood mapping defined by Shi preserves arbitrary joins, then the two categories are isomorphic to each other. | ||
کلیدواژهها | ||
Hutton's quasi-uniformity؛ Shi's quasi-uniformity؛ Reflective category | ||
مراجع | ||
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