构造康托尔三元集的同胚

Global Journal of Pure and Applied Sciences Pub Date : 2022-10-22 DOI:10.4314/gjpas.v28i2.4

Asante – Mensa, Obeng-Denteh, K. Boadi, E. Ayekple

{"title":"构造康托尔三元集的同胚","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":"{\"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}","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

摘要

本文通过研究以1为中心的康托中集及其分形维数，给出了康托三元集的一种广义形式。文中还引入了Heine-Borel集，并证明了其中1的康托集及其广义中集是Heine-Borel集。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Constructing Homeomorphisms Of The Cantor Ternary Set

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Global Journal of Pure and Applied Sciences

自引率

0.00%

发文量