{"title":"由一类网络确定的拓扑结构","authors":"J.W. Goldston","doi":"10.1016/0016-660X(79)90028-X","DOIUrl":null,"url":null,"abstract":"<div><p>Much work has been done on topologies which are “determined” by sequences or more generally, a specified class of nets. The general concept of a space whose topology is “determined” by a given class of nets is studied. A unification and extension of the published work is obtained. In particular, product spaces are studied in detail.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 49-65"},"PeriodicalIF":0.0000,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90028-X","citationCount":"0","resultStr":"{\"title\":\"Topologies determined by a class of nets\",\"authors\":\"J.W. Goldston\",\"doi\":\"10.1016/0016-660X(79)90028-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Much work has been done on topologies which are “determined” by sequences or more generally, a specified class of nets. The general concept of a space whose topology is “determined” by a given class of nets is studied. A unification and extension of the published work is obtained. In particular, product spaces are studied in detail.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"10 1\",\"pages\":\"Pages 49-65\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1979-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0016-660X(79)90028-X\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X7990028X\",\"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/0016660X7990028X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Much work has been done on topologies which are “determined” by sequences or more generally, a specified class of nets. The general concept of a space whose topology is “determined” by a given class of nets is studied. A unification and extension of the published work is obtained. In particular, product spaces are studied in detail.
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