{"title":"Δ-Maximal一些基本函数的拓扑结构","authors":"Douglas E. Cameron","doi":"10.1016/0016-660X(78)90051-X","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we introduce the concept of Δ-maximal topologies and characterize Δ-maximal topological spaces for a class of topological properties which include the cardinal functions κ-dense, Sanin, Caliber-κ, and the countable chain condition. In addition special consideration is given to the existence of Δ-maximal κ-dense spaces which are finer than a given κ-dense topology and also investigated are the existence of Δ-maximal second countable spaces.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 2","pages":"Pages 59-70"},"PeriodicalIF":0.0000,"publicationDate":"1978-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90051-X","citationCount":"3","resultStr":"{\"title\":\"Δ-Maximal topologies for some cardinal functions\",\"authors\":\"Douglas E. Cameron\",\"doi\":\"10.1016/0016-660X(78)90051-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we introduce the concept of Δ-maximal topologies and characterize Δ-maximal topological spaces for a class of topological properties which include the cardinal functions κ-dense, Sanin, Caliber-κ, and the countable chain condition. In addition special consideration is given to the existence of Δ-maximal κ-dense spaces which are finer than a given κ-dense topology and also investigated are the existence of Δ-maximal second countable spaces.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"9 2\",\"pages\":\"Pages 59-70\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0016-660X(78)90051-X\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X7890051X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Topology and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0016660X7890051X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we introduce the concept of Δ-maximal topologies and characterize Δ-maximal topological spaces for a class of topological properties which include the cardinal functions κ-dense, Sanin, Caliber-κ, and the countable chain condition. In addition special consideration is given to the existence of Δ-maximal κ-dense spaces which are finer than a given κ-dense topology and also investigated are the existence of Δ-maximal second countable spaces.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
