{"title":"基础双拓扑空间","authors":"R. K. Al-Hamido","doi":"10.54216/pamda.010201","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce infra bi-topological structure which is a more general structure than infra-topological spaces. This new space make us enable to increate a new sub-classes of sets, called infra bi-open (bi-closed) sets, pairwise infra-open (closed) sets. also we define infra bi-closure, pairwise infra bi-interior and their basic properties are presented. The relations of these concepts with their counterparts in infra-topological space s are given and many examples are presented.","PeriodicalId":165552,"journal":{"name":"Prospects for Applied Mathematics and Data Analysis","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Infra bi-Topological space\",\"authors\":\"R. K. Al-Hamido\",\"doi\":\"10.54216/pamda.010201\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce infra bi-topological structure which is a more general structure than infra-topological spaces. This new space make us enable to increate a new sub-classes of sets, called infra bi-open (bi-closed) sets, pairwise infra-open (closed) sets. also we define infra bi-closure, pairwise infra bi-interior and their basic properties are presented. The relations of these concepts with their counterparts in infra-topological space s are given and many examples are presented.\",\"PeriodicalId\":165552,\"journal\":{\"name\":\"Prospects for Applied Mathematics and Data Analysis\",\"volume\":\"50 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Prospects for Applied Mathematics and Data Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54216/pamda.010201\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Prospects for Applied Mathematics and Data Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54216/pamda.010201","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we introduce infra bi-topological structure which is a more general structure than infra-topological spaces. This new space make us enable to increate a new sub-classes of sets, called infra bi-open (bi-closed) sets, pairwise infra-open (closed) sets. also we define infra bi-closure, pairwise infra bi-interior and their basic properties are presented. The relations of these concepts with their counterparts in infra-topological space s are given and many examples are presented.