| L-fuzzy拓扑空间中的近似强F紧性 |
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| 引用本文： | 王倩倩 孟广武. L-fuzzy拓扑空间中的近似强F紧性[J]. 烟台师范学院学报(自然科学版), 2006, 22(2): 93-95,113 |
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| 作者姓名： | 王倩倩 孟广武 |
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| 作者单位： | [1]淮海工学院数理科学系,江苏连云港222005 [2]聊城大学数学科学学院,山东聊城252059 |
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| 基金项目： | 山东省自然科学基金资助项目（Y2003A01） |
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| 摘 要： | 在LF拓扑空间中较系统地研究了近似强F紧性的特征及其拓扑性质，并讨论了近似强F紧性与强F紧性之间的关系．证明了近似强F紧性所具有的一些好的性质，比如它是正则闭遗传的，Thxohob乘积定理成立等等．
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| 关 键 词： | L-fuzzy拓扑空间 强F紧性 近似强F紧性 M-聚点 |
| 文章编号： | 1004-4930（2006）02-0093-03 |
| 收稿时间： | 2005-10-25 |
| 修稿时间： | 2005-10-25 |
The Nearly Strong F-Compactness in L-filzzy Topological Spaces |
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| WANG Qian-qian, MENG Guang-wu. The Nearly Strong F-Compactness in L-filzzy Topological Spaces[J]. Yantai Teachers University journal(Natural Science Edition), 2006, 22(2): 93-95,113 |
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| Authors: | WANG Qian-qian MENG Guang-wu |
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| Affiliation: | 1. Department of Mathematics, Huaihai Institute of Technology, Lianyungang 222005, China;2. Department of Mathematics, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | The characterizations and the topological properties of the nearly F-compactness in L-fuzzy topological spaces are systematically studied. The relationship between the nearly strong F-compactness and the strong F-compactness is proved. Some good properties are found, for example, the nearly strong F-compactness is hereditary for the L-fuzzy regular closed subset and Thxohob Product Theorem is tenable. |
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| Keywords: | L-fuzzy topological space strong F- compactness nearly strong F- compactness M-cluster point |
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