| LF-拓扑空间的拟Lindel？f性 |
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| 引用本文： | 戴保华.LF-拓扑空间的拟Lindel？f性[J].苏州科技学院学报(自然科学版),2005,22(4):7-11. |
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| 作者姓名： | 戴保华 |
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| 作者单位： | 青海师范大学数学系,青海西宁810008 |
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| 摘 要： | 在LF-拓扑空间中引入了拟Lindel？f的概念.给出了拟Lindel？f空间的几个等价刻画,并利用这些刻画证明了拟Lindel？f空间是一个L-好的推广.同时在LF-半正则空间中得到了拟Lindel？f空间与Lindel？f空间是等价的.
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| 关 键 词： | 拟Lindel？f子集 拟α-远域族 拟r-覆盖 LF-半正则空间 |
| 文章编号： | 1672-0687（2005）04-0007-05 |
| 收稿时间： | 2005-04-15 |
| 修稿时间： | 2005-04-15 |
Quasi-Lindelöf
Properties in LF-Topological Spaces |
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| DAI Bao-hua.Quasi-Lindelöf
Properties in LF-Topological Spaces[J].Journal of University of Science and Technology of Suzhou,2005,22(4):7-11. |
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| Authors: | DAI Bao-hua |
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| Institution: | Dept, of Mathematics, Qinghai Normal University, Xining 810008,China |
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| Abstract: | The concept of quasi-Lindeloef space is introduced into LF-topological spaces. Several equivalent characterizations of quasi-Lindeloef space are given, by which it is proved that the quasi-Lindeloef space is an L good generalization and that the quasi-Lindeloef space is equivalent to Lindeloef space in LF-semi-regular spaces. |
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| Keywords: | quasi-Lindeloef subsets quasi-a-remote field family quasi-r-cover LF-semi-regular spaces |
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