{"title":"二元拓扑空间中的二元半局部闭集","authors":"SASTHA SHYAMALA MALINI, OCHANAN NETHAJI, RAJENDRAN PREMKUMAR","doi":"10.46939/j.sci.arts-23.1-a11","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce new weaker forms of locally closed sets called binary semi-locally closed, binary locally semi-closed sets, and binary generalized locally semi-closed sets and study their relations with the existing ones. We also try to establish the conditions under which these weaker forms coincide with one another. Further it is established that in a particular space, all the weaker forms of binary locally closed sets coincide with P(X,Y), the power set of (X,Y).","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"249 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"BINARY SEMI-LOCALLY CLOSED SETS IN BINARY TOPOLOGICAL SPACES\",\"authors\":\"SASTHA SHYAMALA MALINI, OCHANAN NETHAJI, RAJENDRAN PREMKUMAR\",\"doi\":\"10.46939/j.sci.arts-23.1-a11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce new weaker forms of locally closed sets called binary semi-locally closed, binary locally semi-closed sets, and binary generalized locally semi-closed sets and study their relations with the existing ones. We also try to establish the conditions under which these weaker forms coincide with one another. Further it is established that in a particular space, all the weaker forms of binary locally closed sets coincide with P(X,Y), the power set of (X,Y).\",\"PeriodicalId\":54169,\"journal\":{\"name\":\"Journal of Science and Arts\",\"volume\":\"249 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Science and Arts\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46939/j.sci.arts-23.1-a11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Science and Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46939/j.sci.arts-23.1-a11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
BINARY SEMI-LOCALLY CLOSED SETS IN BINARY TOPOLOGICAL SPACES
In this paper, we introduce new weaker forms of locally closed sets called binary semi-locally closed, binary locally semi-closed sets, and binary generalized locally semi-closed sets and study their relations with the existing ones. We also try to establish the conditions under which these weaker forms coincide with one another. Further it is established that in a particular space, all the weaker forms of binary locally closed sets coincide with P(X,Y), the power set of (X,Y).
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