{"title":"STRICTLY S-MENGER BOUNDED GROUPS","authors":"Iqbal, Muhammad, A. Khan, Moiz Ud Din","doi":"10.46753/pjaa.2021.v08i01(i).019","DOIUrl":null,"url":null,"abstract":"Summary: In this paper, we define and investigate s -Menger-bounded groups. Also, we define strictly s -Menger-bounded groups using infinite topological game between two players. It is shown that strictly s -Menger-bounded group structure is preserved under irresolute epimorphism and possess open hereditary property.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2021.v08i01(i).019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Summary: In this paper, we define and investigate s -Menger-bounded groups. Also, we define strictly s -Menger-bounded groups using infinite topological game between two players. It is shown that strictly s -Menger-bounded group structure is preserved under irresolute epimorphism and possess open hereditary property.