| Fell-拓扑的伪紧性（英文） |
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| 引用本文： | 侯吉成. Fell-拓扑的伪紧性（英文）[J]. 数学进展, 2002, 31(3): 271-274 |
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| 作者姓名： | 侯吉成 |
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| 作者单位： | 四川大学数学学院,成都,四川,610064,中国,烟台大学数学与信息科学系,烟台,山东,264005,中国 |
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| 基金项目： | Supported partly by Scientic Research Foundation for Returned Overseas Chineses Scholars of the State EducationMinistry of China. |
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| 摘 要： | 设X是拓扑空间，CL（X）表示X的所有非空闭子集的族，本文得到了下述结果：在CL（X）上的Fell-拓扑是伪肾的当且仅当X是feebly-紧或者非局部紧或者非σ－紧，由此得到了对于伪紧性不是闭遗传的两类新的拓扑空间。
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| 关 键 词： | 超空间 Fell－拓扑 伪紧 局部紧 σ－紧 拓扑空间 |
Pseudocompactness of the Fell Topology |
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| Hou Jicheng. Pseudocompactness of the Fell Topology[J]. Advances in Mathematics(China), 2002, 31(3): 271-274 |
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| Authors: | Hou Jicheng |
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| Abstract: | Let X be a topological space and CL(X) the hyperspace of all closed nonempty subsets of X. We prove that for a regular space X, the Fell topology on CL(X) is pseudocompact if and only if X satisfies one of the conditions: (i) X is feebly compact, (ii) X is not a-compact, (iii) X is not locally compact. As a consequence, we find two new classes of topological spaces which are not closed-hereditary for pseudocompactness. |
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| Keywords: | hyperspace Fell topology pseudocompact locally compact a-compact |
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