{"title":"The notions of closedness and D-connectedness in quantale-valued approach spaces","authors":"Muhammad Qasim, Samed Ozkan","doi":"10.29252/CGASA.12.1.149","DOIUrl":null,"url":null,"abstract":"In this paper, we characterize the local T0 and T1 separation axioms for quantale-valued gauge space, show how these concepts are related to each other and apply them to L-approach space and L-approach system. Furthermore, we give the characterization of a closed point and D-connectedness in quantale-valued gauge space. Finally, we compare all these concepts with other.","PeriodicalId":170235,"journal":{"name":"Categories and General Algebraic Structures with Application","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Categories and General Algebraic Structures with Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29252/CGASA.12.1.149","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, we characterize the local T0 and T1 separation axioms for quantale-valued gauge space, show how these concepts are related to each other and apply them to L-approach space and L-approach system. Furthermore, we give the characterization of a closed point and D-connectedness in quantale-valued gauge space. Finally, we compare all these concepts with other.
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