| 局部有限超拓扑的局部紧性 |
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| 引用本文： | 宋春玲,谢琳,夏尊铨.局部有限超拓扑的局部紧性[J].数学研究及应用,2004,24(4):705-709. |
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| 作者姓名： | 宋春玲 谢琳 夏尊铨 |
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| 作者单位： | 1. 大连理工大学应用数学系,辽宁,大连,116024
2. 辽宁师范大学数学系,辽宁,大连,116029 |
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| 摘 要： | 本文讨论了赋予局部有限拓扑的非空闲子集超空间的局部紧性.主要结果是:X正则,则其闭子集超空间局部紧当且仅当X可表示成一个紧空间与一个离散空间的拓扑和.
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| 关 键 词： | 局部有限拓扑 超空间 局部紧 |
| 文章编号： | 1000-341X(2004)04-0705-05 |
| 收稿时间： | 2002/1/15 0:00:00 |
| 修稿时间： | 2002年1月15日 |
Local Compactness of Locally Finite Topology |
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| SONG Chun-ling,XIE Lin and XIA Zun-quan.Local Compactness of Locally Finite Topology[J].Journal of Mathematical Research with Applications,2004,24(4):705-709. |
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| Authors: | SONG Chun-ling XIE Lin and XIA Zun-quan |
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| Institution: | Dept. of Appl. Math.; Dalian University of Technology; Dalian; China;Dept. of Appl. Math.; Dalian University of Technology; Dalian; China;Dept. of Appl. Math.; Dalian University of Technology; Dalian; China |
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| Abstract: | In this paper the local compactness of the nonempty closed subsets hyperspaces with locally finite topology is discussed. The main result is as follows: Let X be a regular space, then the nonempty closed subsets hyperspace is locally compact iff X can be represented as the sum of a compact space and a discrete space. |
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| Keywords: | locally finite topology hyperspace locally compact |
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