{"title":"通过Cl*的z-连续性的一些强和弱形式","authors":"A. Prasannan, J. Biswas","doi":"10.2478/gm-2019-0008","DOIUrl":null,"url":null,"abstract":"Abstract This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of continuous functions and investigate its position in the hierarchy of continuous functions on Ideal topological spaces. Moreover, these new sets (zero*-ℐ-set) which is a pragmatic approach to characterize completely Hausdorff spaces.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"42 1","pages":"101 - 85"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some strong and weak form of z-continuity via Cl*\",\"authors\":\"A. Prasannan, J. Biswas\",\"doi\":\"10.2478/gm-2019-0008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of continuous functions and investigate its position in the hierarchy of continuous functions on Ideal topological spaces. Moreover, these new sets (zero*-ℐ-set) which is a pragmatic approach to characterize completely Hausdorff spaces.\",\"PeriodicalId\":32454,\"journal\":{\"name\":\"General Letters in Mathematics\",\"volume\":\"42 1\",\"pages\":\"101 - 85\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Letters in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/gm-2019-0008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Letters in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/gm-2019-0008","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
摘要本文主要对理想拓扑空间中的零集进行了综述。我们还引入了一类新的函数，它是连续函数类的推广，并研究了它在理想拓扑空间上连续函数层次中的位置。此外，这些新的集合(0 *- k -集)是表征完全Hausdorff空间的一种实用方法。
Abstract This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of continuous functions and investigate its position in the hierarchy of continuous functions on Ideal topological spaces. Moreover, these new sets (zero*-ℐ-set) which is a pragmatic approach to characterize completely Hausdorff spaces.
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