{"title":"Touch points in ideal Cech closure spaces","authors":"A. Al-Omari, R. Gargouri, T. Noiri","doi":"10.24193/mathcluj.2022.2.02","DOIUrl":null,"url":null,"abstract":"\"Let (X, f, I) be a Cech closure space with an ideal I. We investigate the properties of so-called Cech touch points and construct a topology on X from the touch points. Moreover, in a Cech closure space (X, f, I) with an ideal I , we define the notion of f-compatibility with the ideal I and obtain several characterizations of this type of compatibility.\"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2022.2.02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
"Let (X, f, I) be a Cech closure space with an ideal I. We investigate the properties of so-called Cech touch points and construct a topology on X from the touch points. Moreover, in a Cech closure space (X, f, I) with an ideal I , we define the notion of f-compatibility with the ideal I and obtain several characterizations of this type of compatibility."