{"title":"完善疯人院系统","authors":"Vera Fischer, Marlene Koelbing, Wolfgang Wohofsky","doi":"10.1007/s11856-024-2626-9","DOIUrl":null,"url":null,"abstract":"<p>We construct a model in which there exists a refining matrix of regular height λ larger than <span>\\(\\mathfrak{h}\\)</span>; both <span>\\(\\lambda = \\mathfrak{c}\\)</span> and <span>\\(\\lambda < \\mathfrak{c}\\)</span> are possible. A refining matrix is a refining system of mad families without common refinement. Of particular interest in our proof is the preservation of <span>\\({\\cal B}\\)</span>-Canjarness.</p>","PeriodicalId":14661,"journal":{"name":"Israel Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Refining systems of mad families\",\"authors\":\"Vera Fischer, Marlene Koelbing, Wolfgang Wohofsky\",\"doi\":\"10.1007/s11856-024-2626-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We construct a model in which there exists a refining matrix of regular height λ larger than <span>\\\\(\\\\mathfrak{h}\\\\)</span>; both <span>\\\\(\\\\lambda = \\\\mathfrak{c}\\\\)</span> and <span>\\\\(\\\\lambda < \\\\mathfrak{c}\\\\)</span> are possible. A refining matrix is a refining system of mad families without common refinement. Of particular interest in our proof is the preservation of <span>\\\\({\\\\cal B}\\\\)</span>-Canjarness.</p>\",\"PeriodicalId\":14661,\"journal\":{\"name\":\"Israel Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Israel Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11856-024-2626-9\",\"RegionNum\":2,\"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":"Israel Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11856-024-2626-9","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We construct a model in which there exists a refining matrix of regular height λ larger than \(\mathfrak{h}\); both \(\lambda = \mathfrak{c}\) and \(\lambda < \mathfrak{c}\) are possible. A refining matrix is a refining system of mad families without common refinement. Of particular interest in our proof is the preservation of \({\cal B}\)-Canjarness.
期刊介绍：
The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.
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