{"title":"邻近空间的拓扑性质","authors":"John W. Carlson","doi":"10.1016/0016-660X(78)90042-9","DOIUrl":null,"url":null,"abstract":"<div><p>Characterization of countably compact, Lindelof, <em>H</em>-closed, first countable and second countable are provided in terms of the nearness structure. Applications of these results are provided for uniform spaces and specific nearness structures.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 2","pages":"Pages 111-118"},"PeriodicalIF":0.0000,"publicationDate":"1978-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90042-9","citationCount":"6","resultStr":"{\"title\":\"Topological properties in nearness spaces\",\"authors\":\"John W. Carlson\",\"doi\":\"10.1016/0016-660X(78)90042-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Characterization of countably compact, Lindelof, <em>H</em>-closed, first countable and second countable are provided in terms of the nearness structure. Applications of these results are provided for uniform spaces and specific nearness structures.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"8 2\",\"pages\":\"Pages 111-118\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0016-660X(78)90042-9\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X78900429\",\"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/0016660X78900429","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Characterization of countably compact, Lindelof, H-closed, first countable and second countable are provided in terms of the nearness structure. Applications of these results are provided for uniform spaces and specific nearness structures.
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