{"title":"纳米拓扑空间中的纳米sc -开集","authors":"Osama T. Pirbal, Nehmat K. Ahmed","doi":"10.30526/36.2.2958","DOIUrl":null,"url":null,"abstract":"The objective of this paper is to define and introduce a new type of nano\n semi-open set which called nano -open set as a strong form of nano semi-open set which\n is related to nano closed sets in nano topological spaces. In this paper, we find all\n forms of the family of nano -open sets in term of upper and lower approximations of sets\n and we can easily find nano -open sets and they are a gate to more study. Several types\n of nano open sets are known, so we study relationship between the nano -open sets with\n the other known types of nano open sets in nano topological spaces. The Operators such\n as nano -interior and nano -closure are the part of this paper.","PeriodicalId":13022,"journal":{"name":"Ibn AL- Haitham Journal For Pure and Applied Sciences","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nano SC-Open Sets in Nano Topological Spaces\",\"authors\":\"Osama T. Pirbal, Nehmat K. Ahmed\",\"doi\":\"10.30526/36.2.2958\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The objective of this paper is to define and introduce a new type of nano\\n semi-open set which called nano -open set as a strong form of nano semi-open set which\\n is related to nano closed sets in nano topological spaces. In this paper, we find all\\n forms of the family of nano -open sets in term of upper and lower approximations of sets\\n and we can easily find nano -open sets and they are a gate to more study. Several types\\n of nano open sets are known, so we study relationship between the nano -open sets with\\n the other known types of nano open sets in nano topological spaces. The Operators such\\n as nano -interior and nano -closure are the part of this paper.\",\"PeriodicalId\":13022,\"journal\":{\"name\":\"Ibn AL- Haitham Journal For Pure and Applied Sciences\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ibn AL- Haitham Journal For Pure and Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30526/36.2.2958\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ibn AL- Haitham Journal For Pure and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30526/36.2.2958","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The objective of this paper is to define and introduce a new type of nano
semi-open set which called nano -open set as a strong form of nano semi-open set which
is related to nano closed sets in nano topological spaces. In this paper, we find all
forms of the family of nano -open sets in term of upper and lower approximations of sets
and we can easily find nano -open sets and they are a gate to more study. Several types
of nano open sets are known, so we study relationship between the nano -open sets with
the other known types of nano open sets in nano topological spaces. The Operators such
as nano -interior and nano -closure are the part of this paper.