| L—fuzzy拓扑空间若干紧性概念的等价性 |
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| 引用本文： | 孟培源,周武能.L—fuzzy拓扑空间若干紧性概念的等价性[J].数学研究及应用,1992,12(4):513-518. |
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| 作者姓名： | 孟培源 周武能 |
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| 作者单位： | 湖北咸宁师专;湖北郧阳师专 |
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| 摘 要： |
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| 关 键 词： | 模糊拓扑空间 紧性 等价性 |
| 收稿时间： | 1990/12/17 0:00:00 |
On the Equivalece of Some Compactness Notions in L-fuzzy Topological Spaces |
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| Meng Peiyuan and Zhou Wuneng.On the Equivalece of Some Compactness Notions in L-fuzzy Topological Spaces[J].Journal of Mathematical Research with Applications,1992,12(4):513-518. |
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| Authors: | Meng Peiyuan and Zhou Wuneng |
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| Institution: | Xianning Normal College; Hubei; 437005;Yunyang Normal College; 441900 |
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| Abstract: | In this paper, the equivalent of ultra-fuzzy compactness, N-compactness, strong fuzzy compactness and fuzzy compactness in weakly induced spaces and (strong) Hausdirff spaces are discussed. A counterexample was given in which we defined an L-fuzzy topological space which is fully stratified, Hausdorff and JV-compact but neither strong Hausdorff nor ultra-fuzzy compact, hence solves two open problems. Finally some conditions are given for a Hausdorff N-compact space to be an ultra-fuzzy compact space. |
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