{"title":"纳米拓扑空间中的纳米s_β -连通性","authors":"Nehmat K. Ahmed, Osama T. Pirbal","doi":"10.23851/mjs.v34i2.1245","DOIUrl":null,"url":null,"abstract":"The aim of this study is to introduce the notions of nano Sβ-connected, nano Sβ-hyperconnected and nano Sβ-ultraconnected by using all forms of nano Sβ-open sets in nano topological spaces. Then, we study their relationship and show that if a nano topological space is nSβ-connected, W is also nano connected space but not the converse. Also, we study each notion in terms of upper, lower, and boundary approximations.","PeriodicalId":7867,"journal":{"name":"Al-Mustansiriyah Journal of Science","volume":"38 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nano S_β-Connectedness in Nano Topological Spaces\",\"authors\":\"Nehmat K. Ahmed, Osama T. Pirbal\",\"doi\":\"10.23851/mjs.v34i2.1245\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this study is to introduce the notions of nano Sβ-connected, nano Sβ-hyperconnected and nano Sβ-ultraconnected by using all forms of nano Sβ-open sets in nano topological spaces. Then, we study their relationship and show that if a nano topological space is nSβ-connected, W is also nano connected space but not the converse. Also, we study each notion in terms of upper, lower, and boundary approximations.\",\"PeriodicalId\":7867,\"journal\":{\"name\":\"Al-Mustansiriyah Journal of Science\",\"volume\":\"38 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Mustansiriyah Journal of Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23851/mjs.v34i2.1245\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Mustansiriyah Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23851/mjs.v34i2.1245","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The aim of this study is to introduce the notions of nano Sβ-connected, nano Sβ-hyperconnected and nano Sβ-ultraconnected by using all forms of nano Sβ-open sets in nano topological spaces. Then, we study their relationship and show that if a nano topological space is nSβ-connected, W is also nano connected space but not the converse. Also, we study each notion in terms of upper, lower, and boundary approximations.