拓扑基之间的序同构

Q3 Mathematics

Extracta Mathematicae Pub Date : 2022-06-01 DOI:10.17398/2605-5686.37.1.139

Javier Cabello Sánchez

{"title":"拓扑基之间的序同构","authors":"Javier Cabello Sánchez","doi":"10.17398/2605-5686.37.1.139","DOIUrl":null,"url":null,"abstract":"In this paper we will study the representations of isomorphisms between bases of topological spaces. It turns out that the perfect setting for this study is that of regular open subsets of complete metric spaces, but we have been able to show some results about arbitrary bases in complete metric spaces and also about regular open subsets in Hausdorff regular topological spaces.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Order isomorphisms between bases of topologies\",\"authors\":\"Javier Cabello Sánchez\",\"doi\":\"10.17398/2605-5686.37.1.139\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we will study the representations of isomorphisms between bases of topological spaces. It turns out that the perfect setting for this study is that of regular open subsets of complete metric spaces, but we have been able to show some results about arbitrary bases in complete metric spaces and also about regular open subsets in Hausdorff regular topological spaces.\",\"PeriodicalId\":33668,\"journal\":{\"name\":\"Extracta Mathematicae\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Extracta Mathematicae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17398/2605-5686.37.1.139\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Extracta Mathematicae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17398/2605-5686.37.1.139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

本文将研究拓扑空间的基之间同构的表示。结果表明，这项研究的完美设置是完全度量空间的正则开子集，但我们已经证明了关于完全度量空间中任意基的一些结果，以及关于Hausdorff正则拓扑空间中正则开子集的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Order isomorphisms between bases of topologies

In this paper we will study the representations of isomorphisms between bases of topological spaces. It turns out that the perfect setting for this study is that of regular open subsets of complete metric spaces, but we have been able to show some results about arbitrary bases in complete metric spaces and also about regular open subsets in Hausdorff regular topological spaces.

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

Extracta Mathematicae Mathematics-Mathematics (miscellaneous)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

21 weeks