{"title":"拓扑空间中的 WπGR 封闭集评述","authors":"S. S. R, D. E. N, DR.VARUGHESE Mathew","doi":"10.24297/jam.v23i.9600","DOIUrl":null,"url":null,"abstract":"In this paper we introduce a new class of sets called weakly π generalized regular closed (wπgr closed) sets. A subset A of X is called wπgr closed set if cl( int A) ⊆U whenever A⊆U and U is πgr open in X. The complement of wπgr-closed set is called wπgr-open set in X. We denote the family of all wπgr closed sets in X by wπGRC(X) and wπgr open sets in X by wπGRO(X))","PeriodicalId":502930,"journal":{"name":"JOURNAL OF ADVANCES IN MATHEMATICS","volume":"42 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"REVIEW OF WπGR CLOSED SETS IN TOPOLOGICAL SPACES\",\"authors\":\"S. S. R, D. E. N, DR.VARUGHESE Mathew\",\"doi\":\"10.24297/jam.v23i.9600\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce a new class of sets called weakly π generalized regular closed (wπgr closed) sets. A subset A of X is called wπgr closed set if cl( int A) ⊆U whenever A⊆U and U is πgr open in X. The complement of wπgr-closed set is called wπgr-open set in X. We denote the family of all wπgr closed sets in X by wπGRC(X) and wπgr open sets in X by wπGRO(X))\",\"PeriodicalId\":502930,\"journal\":{\"name\":\"JOURNAL OF ADVANCES IN MATHEMATICS\",\"volume\":\"42 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JOURNAL OF ADVANCES IN MATHEMATICS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24297/jam.v23i.9600\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF ADVANCES IN MATHEMATICS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24297/jam.v23i.9600","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,我们引入了一类新的集合,称为弱π广义正则闭集(wπgr 闭集)。只要 A⊆U 且 U 是 X 中的πgr 开集,则 X 的子集 A 称为 wπgr 闭集。
In this paper we introduce a new class of sets called weakly π generalized regular closed (wπgr closed) sets. A subset A of X is called wπgr closed set if cl( int A) ⊆U whenever A⊆U and U is πgr open in X. The complement of wπgr-closed set is called wπgr-open set in X. We denote the family of all wπgr closed sets in X by wπGRC(X) and wπgr open sets in X by wπGRO(X))