Carlos Granados, Binod Chandra Tripathy, Suman Das
{"title":"理想三拓扑空间中的半开集","authors":"Carlos Granados, Binod Chandra Tripathy, Suman Das","doi":"10.1007/s40010-023-00814-2","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we introduce a new class of set in ideal tritopological spaces which is called (<i>i</i>, <i>j</i>, <i>k</i>)-semi-<i>I</i>-open set. Besides, we study some of its properties. Moreover, we define the notion of (<i>i</i>, <i>j</i>, <i>k</i>)-semi-<i>I</i>-continuous functions and we show some of their properties and characterizations.\n</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Semi-I-Open Sets in Ideal Tritopological Spaces\",\"authors\":\"Carlos Granados, Binod Chandra Tripathy, Suman Das\",\"doi\":\"10.1007/s40010-023-00814-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we introduce a new class of set in ideal tritopological spaces which is called (<i>i</i>, <i>j</i>, <i>k</i>)-semi-<i>I</i>-open set. Besides, we study some of its properties. Moreover, we define the notion of (<i>i</i>, <i>j</i>, <i>k</i>)-semi-<i>I</i>-continuous functions and we show some of their properties and characterizations.\\n</p></div>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-03-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40010-023-00814-2\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-023-00814-2","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
In this paper, we introduce a new class of set in ideal tritopological spaces which is called (i, j, k)-semi-I-open set. Besides, we study some of its properties. Moreover, we define the notion of (i, j, k)-semi-I-continuous functions and we show some of their properties and characterizations.