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

{"title":"局部有限拓扑下超空间2X的紧性","authors":"Meili Zhang, Hongmei Pei, Weili Liu, Yue Yang","doi":"10.1109/ICAA53760.2021.00132","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":121879,"journal":{"name":"2021 International Conference on Intelligent Computing, Automation and Applications (ICAA)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Compactness of the Hyperspace 2X with the Locally Finite Topology\",\"authors\":\"Meili Zhang, Hongmei Pei, Weili Liu, Yue Yang\",\"doi\":\"10.1109/ICAA53760.2021.00132\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":121879,\"journal\":{\"name\":\"2021 International Conference on Intelligent Computing, Automation and Applications (ICAA)\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 International Conference on Intelligent Computing, Automation and Applications (ICAA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICAA53760.2021.00132\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 International Conference on Intelligent Computing, Automation and Applications (ICAA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICAA53760.2021.00132","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

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

自引率

0.00%

发文量