| L-拓扑空间的SR-F可数紧性 |
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| 引用本文： | 刘红平,孟广武. L-拓扑空间的SR-F可数紧性[J]. 汕头大学学报(自然科学版), 2009, 24(1): 8-12 |
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| 作者姓名： | 刘红平 孟广武 |
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| 作者单位： | 聊城大学数学科学学院,山东,聊城,252059 |
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| 基金项目： | 教育部科学技术研究重点项目，山东省软科学项目 |
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| 摘 要： | 在L-拓扑空间中引入SR-F可数紧性,给出其α-有限交式、覆盖式等刻画.并证明了SR-F可数紧性具有有限可和、可乘、对半正则闭子集遗传、L-good extension等许多性质.
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| 关 键 词： | L-拓扑空间 SR-F可数紧性 α-有限交性质 |
SR-F Countable Compactness in L-Topological Spaces |
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| LIU Hong-ping,MENG Guang-wu. SR-F Countable Compactness in L-Topological Spaces[J]. Journal of Shantou University(Natural Science Edition), 2009, 24(1): 8-12 |
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| Authors: | LIU Hong-ping MENG Guang-wu |
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| Affiliation: | LIU Hong-ping,MENG Guang-wu(School of Mathematics Science,Liaocheng University,Liaocheng 252059,Shandong,China) |
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| Abstract: | SR-F countable compactness is introduced in L-topological, and its characterizations with a-finite intersection and cover are given. It is shown that SR-F countable compactness has many properties. The sum of finite SR-F countable compact sets is a SR-F countable compact set, and it is muhiplicative, hereditary with respect to semi-regular close subset, L-good extension. |
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| Keywords: | L-topological space SR-Fcountable compactness a-finite intersection property |
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