{"title":"严格有界群","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":"{\"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}","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}
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.