{"title":"$�^{��}中的类等性与投影平行拓扑","authors":"A. E. Gutman, I. A. Emelianenkov","doi":"10.1134/s0037446624020034","DOIUrl":null,"url":null,"abstract":"<p>We establish two new criteria for the closedness of Archimedean cones in countable-dimensional locally convex spaces\nin terms of projective parallelotopes and projective automorphisms.\nWe also answer some open questions about quasidenseness and quasi-interior.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"17 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasidenseness in $ ��^{��} $ and Projective Parallelotopes\",\"authors\":\"A. E. Gutman, I. A. Emelianenkov\",\"doi\":\"10.1134/s0037446624020034\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We establish two new criteria for the closedness of Archimedean cones in countable-dimensional locally convex spaces\\nin terms of projective parallelotopes and projective automorphisms.\\nWe also answer some open questions about quasidenseness and quasi-interior.</p>\",\"PeriodicalId\":49533,\"journal\":{\"name\":\"Siberian Mathematical Journal\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siberian Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0037446624020034\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624020034","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Quasidenseness in $ ��^{��} $ and Projective Parallelotopes
We establish two new criteria for the closedness of Archimedean cones in countable-dimensional locally convex spaces
in terms of projective parallelotopes and projective automorphisms.
We also answer some open questions about quasidenseness and quasi-interior.
期刊介绍：
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.
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