Asante – Mensa, Obeng-Denteh, K. Boadi, E. Ayekple
{"title":"Constructing Homeomorphisms Of The Cantor Ternary Set","authors":"Asante – Mensa, Obeng-Denteh, K. Boadi, E. Ayekple","doi":"10.4314/gjpas.v28i2.4","DOIUrl":null,"url":null,"abstract":"In this paper, we present a generalized form of the Cantor ternary set by studying the cantor middle set where 1 and its fractal dimension. The paper also introduces the Heine-Borel set and shows that the cantor set and its generalised middle set where 1 are Heine-Borel sets.","PeriodicalId":12516,"journal":{"name":"Global Journal of Pure and Applied Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Global Journal of Pure and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/gjpas.v28i2.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we present a generalized form of the Cantor ternary set by studying the cantor middle set where 1 and its fractal dimension. The paper also introduces the Heine-Borel set and shows that the cantor set and its generalised middle set where 1 are Heine-Borel sets.