| LF拓扑空间中的r-Lindelff可数性质 |
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| 引用本文： | 王延军.LF拓扑空间中的r-Lindelff可数性质[J].延安大学学报(自然科学版),2008,27(3):10-12. |
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| 作者姓名： | 王延军 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 基金项目： | 延安大学重点科研基金 |
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| 摘 要： | 在LF拓扑空间中借助LF-r闭集定义了r远域族与r-远域族,进一步引入r-Lindelff可数性和弱r-Lindelff可数性的概念,证明了r-Lindel可数性和弱r-Lindel可数性对于LF-r闭子集是遗传的,是r拓扑性质。
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| 关 键 词： | LF拓扑空间 LF-r闭集 r远域族 r-Lindeloff可数性 弱r-Lindelff可数性 |
The r-Lindel(o)ff Countable Property in LF Topological Spaces |
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| WANG Yan-jun.The r-Lindel(o)ff Countable Property in LF Topological Spaces[J].Journal of Yan'an University(Natural Science Edition),2008,27(3):10-12. |
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| Authors: | WANG Yan-jun |
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| Institution: | WANG Yan-jun (College of Mathematics and Computer Science, Yanan University, Yanan 716000, China) |
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| Abstract: | The concepts of r remote neighborhood family and r-remote neighborhood family are defined by means of LF-r closed set in LF topological spaces. Moreover, r-Lindeloff countable property and weakly r-Lindeloff countable property are introduced. It is proved that r-Lindeloff countable property and weakly r-Lindeloff countable property are hereditary for LF-r closed set and r topological property. |
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| Keywords: | LF topological spaces LF-r closed set r remote neighborhood family r-Lindeloff countable property weakly r-Lindeloff countable property |
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