局部有限拓扑下超空间2X的紧性

2021 International Conference on Intelligent Computing, Automation and Applications (ICAA) Pub Date : 2021-06-01 DOI:10.1109/ICAA53760.2021.00132

Meili Zhang, Hongmei Pei, Weili Liu, Yue Yang

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引用次数: 0

摘要

设X是拓扑空间。在X的所有闭非空子集的超空间$2^{X}$上定义了一个vietoris型拓扑，称为局部有限拓扑。本文讨论了局部有限拓扑在超空间上的紧性。并给出了重要的结论，从而发展了e.m heal, j.k esling的一些成果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Compactness of the Hyperspace 2X with the Locally Finite Topology

Let X be topological space. A vietoris-type topology, called the locally finite topology, is defined on the hyperspace $2^{X}$ of all closed, nonempty subsets of X. In this paper, we discuss compactness of the locally finite topology on hyperspace. And give the important conclusion, therefore this develops E.Micheal, J.Keesling some results.

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2021 International Conference on Intelligent Computing, Automation and Applications (ICAA)

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