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| Fell—拓扑的某些性质 | |
| 引用本文： | 侯吉成. Fell—拓扑的某些性质[J]. 数学研究, 2001, 34(1): 32-42 |
| 作者姓名： | 侯吉成 |
| 作者单位： | 四川大学数学学院,;烟台大学数学与信息科学系, |
| 摘 要： | 刻画了Fell-拓扑的某些性质以及Fell-拓扑和拓扑收敛的关系。 |
| 关 键 词： | 超空间 闭子集 局部集 拓扑空间 拓扑收敛 Fell－拓扑 |
| 修稿时间： | 2000-03-10 |
Some Properties of theFell Topology |
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| Hou Jicheng. Some Properties of theFell Topology[J]. Journal of Mathematical Study, 2001, 34(1): 32-42 | |
| Authors: | Hou Jicheng |
| Abstract: | For a space X ,let 2 X [resp. CL(X) ] be the collection of all closed subsets [resp.non-empty closed subsets] of X .We characterize some properties of the Fell topology on 2 X [resp. CL(X) ] in terms of topological properties of X .We show also that the Fell topology and toplogical convergence are coincide if and only if X is locally compact. |
| Keywords: | Hyperspace Fell topology topological convergence. |
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