{"title":"豪斯多夫维数","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":"{\"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}","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}
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:
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