关于c-清醒空间和ω*-良好滤波空间

IF 0.8 4区数学 Q2 MATHEMATICS

Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2306989y

Jinbo Yang, Yun Luo, Zixuan Ye

{"title":"关于c-清醒空间和ω*-良好滤波空间","authors":"Jinbo Yang, Yun Luo, Zixuan Ye","doi":"10.2298/fil2306989y","DOIUrl":null,"url":null,"abstract":"Based on countably irreducible version of Topological Rudin?s Lemma, we give some characterizations of c-sober spaces and ?*-well-filtered spaces. In particular, we prove that a topological space is c-sober iff its Smyth power space is c-sober and a c-sober space is an ?*-well-filtered space. We also show that a locally compact ?+-well-filtered P-space is c-sober and a T0 space X is c-sober iff the one-point compactification of X is c-sober.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On c-sober spaces and ω*-well-filtered spaces\",\"authors\":\"Jinbo Yang, Yun Luo, Zixuan Ye\",\"doi\":\"10.2298/fil2306989y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on countably irreducible version of Topological Rudin?s Lemma, we give some characterizations of c-sober spaces and ?*-well-filtered spaces. In particular, we prove that a topological space is c-sober iff its Smyth power space is c-sober and a c-sober space is an ?*-well-filtered space. We also show that a locally compact ?+-well-filtered P-space is c-sober and a T0 space X is c-sober iff the one-point compactification of X is c-sober.\",\"PeriodicalId\":12305,\"journal\":{\"name\":\"Filomat\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Filomat\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2298/fil2306989y\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Filomat","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2306989y","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

基于拓扑鲁丁的可数不可约版本?利用引理，给出了c-清醒空间和?*-良好过滤空间的一些表征。特别地，我们证明了一个拓扑空间是c-清醒的，如果它的Smyth幂空间是c-清醒的，并且一个c-清醒空间是一个?*-良好过滤的空间。我们还证明了如果X的一点紧化是c-清醒的，那么局部紧化+良好滤波的p空间是c-清醒的，T0空间X是c-清醒的。

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

On c-sober spaces and ω*-well-filtered spaces

Based on countably irreducible version of Topological Rudin?s Lemma, we give some characterizations of c-sober spaces and ?*-well-filtered spaces. In particular, we prove that a topological space is c-sober iff its Smyth power space is c-sober and a c-sober space is an ?*-well-filtered space. We also show that a locally compact ?+-well-filtered P-space is c-sober and a T0 space X is c-sober iff the one-point compactification of X is c-sober.

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