{"title":"Hausdorff Dimension","authors":"","doi":"10.1142/9789811226380_0045","DOIUrl":null,"url":null,"abstract":"Hausdorff dimension was singled out by Mandelbrot when he defined \" fractal \" as a set for which the Hausdorff dimension is strictly greater than the topological dimension. Before going through the details, let us agree with the following:","PeriodicalId":123712,"journal":{"name":"The Krzyż Conjecture: Theory and Methods","volume":"356 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"116","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Krzyż Conjecture: Theory and Methods","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789811226380_0045","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 116
Abstract
Hausdorff dimension was singled out by Mandelbrot when he defined " fractal " as a set for which the Hausdorff dimension is strictly greater than the topological dimension. Before going through the details, let us agree with the following: