双广义拓扑空间中的广义稠密集

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2023-10-30 DOI:10.29020/nybg.ejpam.v16i4.4911

Farhat Yasser, Vadakasi Subramanian

{"title":"双广义拓扑空间中的广义稠密集","authors":"Farhat Yasser, Vadakasi Subramanian","doi":"10.29020/nybg.ejpam.v16i4.4911","DOIUrl":null,"url":null,"abstract":"In this article, in a bigeneralized topological space, we introduce an interesting tool namely, $(s, v)$-dense set, and examine the significance of this set. Also, we give the relations between nowhere-dense sets defined in generalized and bigeneralized topological space and give some of their properties by using functions. Finally, we give some applications for $(s, v)$-dense and $(s, v)$-nowhere dense sets in a soft set theory.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized Dense set in Bigeneralized Topological Spaces\",\"authors\":\"Farhat Yasser, Vadakasi Subramanian\",\"doi\":\"10.29020/nybg.ejpam.v16i4.4911\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, in a bigeneralized topological space, we introduce an interesting tool namely, $(s, v)$-dense set, and examine the significance of this set. Also, we give the relations between nowhere-dense sets defined in generalized and bigeneralized topological space and give some of their properties by using functions. Finally, we give some applications for $(s, v)$-dense and $(s, v)$-nowhere dense sets in a soft set theory.\",\"PeriodicalId\":51807,\"journal\":{\"name\":\"European Journal of Pure and Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29020/nybg.ejpam.v16i4.4911\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29020/nybg.ejpam.v16i4.4911","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文在广义拓扑空间中引入了一个有趣的工具$(s, v)$-稠密集，并检验了该集合的意义。同时，我们给出了在广义拓扑空间和双广义拓扑空间中定义的无密度集合之间的关系，并利用函数给出了它们的一些性质。最后给出了软集理论中$(s, v)$-dense和$(s, v)$-nowhere稠密集的一些应用。

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

Generalized Dense set in Bigeneralized Topological Spaces

In this article, in a bigeneralized topological space, we introduce an interesting tool namely, $(s, v)$-dense set, and examine the significance of this set. Also, we give the relations between nowhere-dense sets defined in generalized and bigeneralized topological space and give some of their properties by using functions. Finally, we give some applications for $(s, v)$-dense and $(s, v)$-nowhere dense sets in a soft set theory.

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

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156