{"title":"T0空间的K-完备","authors":"Yu. L. Ershov","doi":"10.1007/s10469-022-09687-7","DOIUrl":null,"url":null,"abstract":"<div><div><p>For a wide category <b>K</b>, we introduce the notions of a <b>K</b>-precomplete map and of a <b>K-</b>subspace. Based on these, we create a uniform method for constructing <b>K</b>-completions of <i>T</i><sub>0</sub>-spaces.</p></div></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"K-Completions of T0-Spaces\",\"authors\":\"Yu. L. Ershov\",\"doi\":\"10.1007/s10469-022-09687-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div><p>For a wide category <b>K</b>, we introduce the notions of a <b>K</b>-precomplete map and of a <b>K-</b>subspace. Based on these, we create a uniform method for constructing <b>K</b>-completions of <i>T</i><sub>0</sub>-spaces.</p></div></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-12-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10469-022-09687-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10469-022-09687-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
For a wide category K, we introduce the notions of a K-precomplete map and of a K-subspace. Based on these, we create a uniform method for constructing K-completions of T0-spaces.
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