| 局部有限超拓扑的连通性 |
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| 引用本文： | 谢琳,宋春玲.局部有限超拓扑的连通性[J].辽宁师范大学学报(自然科学版),2001,24(2):120-122. |
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| 作者姓名： | 谢琳 宋春玲 |
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| 作者单位： | 辽宁师范大学数学系, |
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| 摘 要： | 讨论了赋予局部有限拓扑的非空闭子集超空间的连通性，还引入了一个对讨论局部有限超拓扑有用的基数函数，称为离散度，结果表明：局部有限超拓扑与有限超拓扑在连通性方面有很在差别，其中一个结论是：连通空间X是Hausdorff、局部紧、仿紧的，则其紧子集超空间是一个开且闭的连通分支。
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| 关 键 词： | 局部有限拓扑 超空间 连通性 基数函数 Hausdorff度量 离散度 度量空间 |
| 文章编号： | 1000-1735(2001)02-0120-03 |
| 修稿时间： | 2001年3月16日 |
The Connectedness of Locally Finite Topology |
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| XIE Lin,SONG Chun-ling.The Connectedness of Locally Finite Topology[J].Journal of Liaoning Normal University(Natural Science Edition),2001,24(2):120-122. |
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| Authors: | XIE Lin SONG Chun-ling |
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| Institution: | XIE Lin,SONG Chun-ling [HT6SS] |
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| Abstract: | The connectedness of the non-empty closed subsets hyperspace with locally finite topology is discussed and a cardinal function called discrete degree is introduced.The results obtained in this paper have shown that locally finite topology and finite topology have more difference in the connectedness,of which one is that all the non-empty compact subsets is a clopen connected component of locally finite topology if the connected space X is hausdorff,locally compact and paracompact. |
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| Keywords: | locally finite topology hyperspace connectedness |
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