{"title":"弱空间上的弱w连续","authors":"Young Key Kim, W. Min","doi":"10.12988/ijma.2015.54336","DOIUrl":null,"url":null,"abstract":"We introduced the notion of weak structure [13] which is defined by the new interior operator and closure operator defined in a WNS. The notion of W -continuity was also introduced and studied. The purpose of this paper is to study the extended notion of W -continuity on weak spaces. So we introduce the notion of weak W -continuity on weak spaces and study properties of such a notion. For the study, we also investigate the notions of w-Urysohn spaces, w-closed graph and strongly w-closed graph on weak spaces. Mathematics Subject Classification: 54A05, 54B10, 54C10, 54D30","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Weak W-continuity on weak spaces\",\"authors\":\"Young Key Kim, W. Min\",\"doi\":\"10.12988/ijma.2015.54336\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduced the notion of weak structure [13] which is defined by the new interior operator and closure operator defined in a WNS. The notion of W -continuity was also introduced and studied. The purpose of this paper is to study the extended notion of W -continuity on weak spaces. So we introduce the notion of weak W -continuity on weak spaces and study properties of such a notion. For the study, we also investigate the notions of w-Urysohn spaces, w-closed graph and strongly w-closed graph on weak spaces. Mathematics Subject Classification: 54A05, 54B10, 54C10, 54D30\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"94 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/ijma.2015.54336\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/ijma.2015.54336","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We introduced the notion of weak structure [13] which is defined by the new interior operator and closure operator defined in a WNS. The notion of W -continuity was also introduced and studied. The purpose of this paper is to study the extended notion of W -continuity on weak spaces. So we introduce the notion of weak W -continuity on weak spaces and study properties of such a notion. For the study, we also investigate the notions of w-Urysohn spaces, w-closed graph and strongly w-closed graph on weak spaces. Mathematics Subject Classification: 54A05, 54B10, 54C10, 54D30