通过子空间混合 M 拓扑实现连通性和紧凑性

IF 0.8 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-07-05 DOI:10.1007/s40010-024-00884-w

Md Mirazul Hoque, Baby Bhattacharya, Binod Chandra Tripathy

{"title":"通过子空间混合 M 拓扑实现连通性和紧凑性","authors":"Md Mirazul Hoque, Baby Bhattacharya, Binod Chandra Tripathy","doi":"10.1007/s40010-024-00884-w","DOIUrl":null,"url":null,"abstract":"<div><p>In the present article, we present how M-connectedness differs from similar concepts in general topology, and the notion of closed subspace mixed M-topology in mixed M-topological space by extending the concept of closed subspace M-topology. We also define the notions of M-connectedness and M-compactness on mixed M-topological spaces. We investigate different properties of M-connectedness and M-compactness via two subspace mixed M-topologies.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"335 - 343"},"PeriodicalIF":0.8000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-024-00884-w.pdf","citationCount":"0","resultStr":"{\"title\":\"Connectedness and Compactness via Subspace Mixed M-Topologies\",\"authors\":\"Md Mirazul Hoque, Baby Bhattacharya, Binod Chandra Tripathy\",\"doi\":\"10.1007/s40010-024-00884-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In the present article, we present how M-connectedness differs from similar concepts in general topology, and the notion of closed subspace mixed M-topology in mixed M-topological space by extending the concept of closed subspace M-topology. We also define the notions of M-connectedness and M-compactness on mixed M-topological spaces. We investigate different properties of M-connectedness and M-compactness via two subspace mixed M-topologies.</p></div>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":\"94 3\",\"pages\":\"335 - 343\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-07-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40010-024-00884-w.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40010-024-00884-w\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-024-00884-w","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们介绍了 M-连通性与一般拓扑学中类似概念的不同之处，并通过扩展封闭子空间 M 拓扑的概念，介绍了混合 M 拓扑空间中封闭子空间混合 M 拓扑的概念。我们还定义了混合 M 拓扑空间的 M-connectedness 和 M-compactness 概念。我们通过两个子空间混合 M 拓扑来研究 M-connectedness 和 M-compactness 的不同性质。

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

Connectedness and Compactness via Subspace Mixed M-Topologies

In the present article, we present how M-connectedness differs from similar concepts in general topology, and the notion of closed subspace mixed M-topology in mixed M-topological space by extending the concept of closed subspace M-topology. We also define the notions of M-connectedness and M-compactness on mixed M-topological spaces. We investigate different properties of M-connectedness and M-compactness via two subspace mixed M-topologies.

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