| L－fuzzy拓扑空间中的近似良紧性 |
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| 引用本文： | 陈水利. L－fuzzy拓扑空间中的近似良紧性[J]. 数学杂志, 1996, 0(1) |
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| 作者姓名： | 陈水利 |
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| 作者单位： | 湖北江汉石油学院 |
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| 摘 要： | 本文系统地研究了Ｌ－ｆｕｚｚｙ拓扑空间中近似良紧性的特征及其拓补性质。讨论了近似良紧性与良紧性之间的关系。证明了近似良紧性是正则闭遗传的，有限可和的以及在满层的Ｌ—ｆｕｚｚｙ拓扑空间中，对于近似良紧性而言，ＸＯＨＯＢ乘积定理成立等重要性质。
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| 关 键 词： | L－fuzzy拓扑空间，良紧性，近似良紧性，α－远域族，α－网 |
THE NEARLY NICE COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES |
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| Chen Shui- Li. THE NEARLY NICE COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES[J]. Journal of Mathematics, 1996, 0(1) |
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| Authors: | Chen Shui- Li |
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| Abstract: | In this paper,the characterizations and the topological properties of the nearly nice compactness in L-fuzzy topological spaces are systematically studied.The relationships between the nearly nice compactness and the nice compactness are discussed. That the nearly nice compactness is hereditary for the L-fuzzy regular closed subset and finitely additive,and that TXOHOB Product Theorem holds with respect to the nearly nice compactness in full stratified L-fuzzy topological spaces and so on are proved. |
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