| L-拓扑空间的弱局部强F紧性及单点强F紧化 |
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| 引用本文： | 陈园园,李生刚.L-拓扑空间的弱局部强F紧性及单点强F紧化[J].模糊系统与数学,2007,21(4):53-58. |
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| 作者姓名： | 陈园园 李生刚 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目(10271069)，陕西师范大学研究生培养创新基金资助项目 |
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| 摘 要： | 以R.Lowen的强F紧性为基础,定义了L-拓扑空间的弱局部强F紧性及单点强F紧化,推广了有关弱局部紧拓扑空间和拓扑空间的单点紧化的若干结果,证明了L-拓扑空间的弱局部强F紧性是拓扑空间的弱局部紧性的L-推广。
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| 关 键 词： | 弱局部强F紧L-拓扑空间 L-推广 单点强F紧化 |
| 文章编号： | 1001-7402（2007）04-0053-06 |
| 收稿时间： | 2006-03-16 |
| 修稿时间： | 2006-03-162006-04-16 |
Weak Local Strong Fuzzy Compactness and One Point Strong Fuzzy Compactification in L-topological Spaces |
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| CHEN Yuan-yuan,LI Sheng-gang.Weak Local Strong Fuzzy Compactness and One Point Strong Fuzzy Compactification in L-topological Spaces[J].Fuzzy Systems and Mathematics,2007,21(4):53-58. |
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| Authors: | CHEN Yuan-yuan LI Sheng-gang |
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| Abstract: | Based on Lowen's strong fuzzy compactness,the notions of weak local strong fuzzy compactness and one-point strong fuzzy compactification of an L-topological space are defined,and some results on weak local compact topological spaces and one-point compactification of topological space are established in fuzzy setting.It is also proved that weak local strong fuzzy compactness of L-topological spaces is an L-extension of weak local compactness of ordinary topological spaces. |
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| Keywords: | Weakly Locally Strong Fuzzy Compact L-topological Space L-extension One-point Strong Fuzzy Compactification |
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