{"title":"截断向量网格:前田-小笠原类型表示法","authors":"Karim Boulabiar, Rawaa Hajji","doi":"10.2989/16073606.2023.2287815","DOIUrl":null,"url":null,"abstract":"Let L be a truncated Archimedean vector lattice whose truncation is denoted by *. In a recent paper, we proved that there exists a locally compact Hausdorff space X such that L is a lattice isomorph...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"107 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Truncated vector lattices: A Maeda-Ogasawara type representation\",\"authors\":\"Karim Boulabiar, Rawaa Hajji\",\"doi\":\"10.2989/16073606.2023.2287815\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let L be a truncated Archimedean vector lattice whose truncation is denoted by *. In a recent paper, we proved that there exists a locally compact Hausdorff space X such that L is a lattice isomorph...\",\"PeriodicalId\":49652,\"journal\":{\"name\":\"Quaestiones Mathematicae\",\"volume\":\"107 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quaestiones Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2023.2287815\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quaestiones Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2023.2287815","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
设 L 是一个截断的阿基米德向量网格,其截断数用 * 表示。在最近的一篇论文中,我们证明了存在一个局部紧凑的豪斯多尔空间X,使得L是一个同构的网格。
Truncated vector lattices: A Maeda-Ogasawara type representation
Let L be a truncated Archimedean vector lattice whose truncation is denoted by *. In a recent paper, we proved that there exists a locally compact Hausdorff space X such that L is a lattice isomorph...
期刊介绍:
Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.