{"title":"关于正规第一可数线性h闭空间的三个小结果","authors":"M. Baillif","doi":"10.14712/1213-7243.2022.013","DOIUrl":null,"url":null,"abstract":"We use topological consequences of PFA, MA$_{\\omega_1}$(S)[S] and PFA(S)[S] proved by other authors to show that normal first countable linearly H-closed spaces with various additionals properties are compact in these models.","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":" ","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2020-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Three small results on normal first countable linearly H-closed spaces\",\"authors\":\"M. Baillif\",\"doi\":\"10.14712/1213-7243.2022.013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We use topological consequences of PFA, MA$_{\\\\omega_1}$(S)[S] and PFA(S)[S] proved by other authors to show that normal first countable linearly H-closed spaces with various additionals properties are compact in these models.\",\"PeriodicalId\":44396,\"journal\":{\"name\":\"Commentationes Mathematicae Universitatis Carolinae\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2020-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Commentationes Mathematicae Universitatis Carolinae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14712/1213-7243.2022.013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Commentationes Mathematicae Universitatis Carolinae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14712/1213-7243.2022.013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Three small results on normal first countable linearly H-closed spaces
We use topological consequences of PFA, MA$_{\omega_1}$(S)[S] and PFA(S)[S] proved by other authors to show that normal first countable linearly H-closed spaces with various additionals properties are compact in these models.
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