对carathimodory的素数端点理论的一些方面进行了真正的拓扑处理

Revista Integración Pub Date : 2023-06-07 DOI:10.18273/revint.v41n1-2023004

J. Kennedy

{"title":"对carathimodory的素数端点理论的一些方面进行了真正的拓扑处理","authors":"J. Kennedy","doi":"10.18273/revint.v41n1-2023004","DOIUrl":null,"url":null,"abstract":"A homeomorphism approximation technique is applied to give (1) proofs of some theorems of C. Carathéodory, and (2) a proof of a theorem of N. Rutt. The proofs use only tools from general topology (and are new in that respect), and a generalization of a theorem of Carathéodory is obtained.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A really topological treatment of some aspects of Carathéodory’s theory of prime ends\",\"authors\":\"J. Kennedy\",\"doi\":\"10.18273/revint.v41n1-2023004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A homeomorphism approximation technique is applied to give (1) proofs of some theorems of C. Carathéodory, and (2) a proof of a theorem of N. Rutt. The proofs use only tools from general topology (and are new in that respect), and a generalization of a theorem of Carathéodory is obtained.\",\"PeriodicalId\":402331,\"journal\":{\"name\":\"Revista Integración\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Integración\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18273/revint.v41n1-2023004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Integración","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18273/revint.v41n1-2023004","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

利用同胚逼近技术，给出了(1)C. carathimodory若干定理的证明，(2)N. Rutt若干定理的证明。这些证明只使用了来自一般拓扑的工具(并且在这方面是新的)，并且得到了carathimodory定理的推广。

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

A really topological treatment of some aspects of Carathéodory’s theory of prime ends

A homeomorphism approximation technique is applied to give (1) proofs of some theorems of C. Carathéodory, and (2) a proof of a theorem of N. Rutt. The proofs use only tools from general topology (and are new in that respect), and a generalization of a theorem of Carathéodory is obtained.

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

Revista Integración

自引率

0.00%

发文量