2012•Journal of Bijie UniversityRequires access

The Hausdorff Dimension of Some Special Sets

Liu Tao

Abstract

It is a very important issue to determine the Hausdorff dimension of the sets of metric spaces in the research of fractal geomety.There are some important results that were got by the researchers by deep studing,but It is still a hard problem to calculate the Hausdorff dimension of the general sets.It mainly discussed how to calculate the Hausdorff measure and the Hausdorff dimension of the special sequence of number in the article.Some conclusions are proved in the paper,we can easily calculate the Hausdorff dimension of the set which has the character in the concludions.

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Key concepts: Hausdorff dimension, Effective dimension, Hausdorff measure, Urysohn and completely Hausdorff spaces, Mathematics, Packing dimension, Outer measure, Minkowski–Bouligand dimension