{"title":"A Cantor set whose polynomial hull contains no analytic discs","authors":"Alexander J. Izzo, N. Levenberg","doi":"10.4310/arkiv.2019.v57.n2.a6","DOIUrl":null,"url":null,"abstract":"It is shown that there exists a Cantor set X in C^4 whose polynomially convex hull is strictly larger than X but contains no analytic discs.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2018-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arkiv for Matematik","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/arkiv.2019.v57.n2.a6","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
It is shown that there exists a Cantor set X in C^4 whose polynomially convex hull is strictly larger than X but contains no analytic discs.
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