{"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}
引用次数: 0
Abstract
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.
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。
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