| u-闭包算子与LF-u拓扑空间 |
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| 引用本文： | 陈丽.u-闭包算子与LF-u拓扑空间[J].四川大学学报(自然科学版),2009,46(1):1-5. |
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| 作者姓名： | 陈丽 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 作者在LF拓扑空间中引入了u闭包算子，并由此定义了u闭集、u开集，从而导出了LF-u拓扑空间.然后作者讨论了由诱导的LF拓扑空间导出的u拓扑与原空间导出的u拓扑所诱导的LF拓扑之间的关系，并研究了相应于LF拓扑空间与LF-u拓扑空间之间的连续性、连通性、紧性与Urysohn分离性等拓扑性质.
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| 关 键 词： | LF拓扑空间 u闭包算子 连通性 u-紧性 Urysohn分离性 |
| 收稿时间： | 1/18/2007 2:57:39 PM |
| 修稿时间： | 3/27/2007 4:13:08 PM |
The u-closure operator and LF-u-topological space |
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| CHEN Li.The u-closure operator and LF-u-topological space[J].Journal of Sichuan University (Natural Science Edition),2009,46(1):1-5. |
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| Authors: | CHEN Li |
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| Institution: | School of Mathematics,Sichuan University |
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| Abstract: | The author introduces the u-closure operator in LF topological spaces, and define u-closed sets,
u-open sets which induced LF u-topological spaces. The correspondences between LF topology and its induced
u-topology, such as continuity, connexity, compactness and Urysohn seperation are shown. |
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| Keywords: | LF topological space u-closure operator connexity u-compactness Urysohn seperation |
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