{"title":"多集拓扑空间背景下的可数性研究","authors":"Satabdi Ray, Baby Bhattacharya","doi":"10.1007/s40010-024-00893-9","DOIUrl":null,"url":null,"abstract":"<div><p>The main aim of this treatise is to establish the conception of sequence of multiset and countability on multiset topological spaces. Unlike any topological space, there are two subspaces in this context which are also countable M-topological space. Also, we obtained the relationship of the variants of countable M-topological spaces in the light of sequences in this environment.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 4","pages":"457 - 461"},"PeriodicalIF":0.8000,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Study on Countability in the Context of Multiset Topological Spaces\",\"authors\":\"Satabdi Ray, Baby Bhattacharya\",\"doi\":\"10.1007/s40010-024-00893-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The main aim of this treatise is to establish the conception of sequence of multiset and countability on multiset topological spaces. Unlike any topological space, there are two subspaces in this context which are also countable M-topological space. Also, we obtained the relationship of the variants of countable M-topological spaces in the light of sequences in this environment.</p></div>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":\"94 4\",\"pages\":\"457 - 461\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-08-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"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/s40010-024-00893-9\",\"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/s40010-024-00893-9","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
本论文的主要目的是在多集拓扑空间上建立多集序列和可数性的概念。与任何拓扑空间不同,这里有两个子空间也是可数 M 拓扑空间。此外,我们还根据该环境中的序列,得到了可数 M 拓扑空间变体的关系。
A Study on Countability in the Context of Multiset Topological Spaces
The main aim of this treatise is to establish the conception of sequence of multiset and countability on multiset topological spaces. Unlike any topological space, there are two subspaces in this context which are also countable M-topological space. Also, we obtained the relationship of the variants of countable M-topological spaces in the light of sequences in this environment.