k分Cantor集的Hausdorff测度的一种计算
A Calculation of Hausdorff Measures of k-Partition Cantor Sets
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摘要: 以比较初等的方法重新证明了著名的Cantor三分集的Hasdorrff维数为s=log2/log3,Hausdorffc测度为1,并对直线上类似的一类构造集推广了此方法。Abstract: In this paper,the Hausdorff dimension and measure of a cantor set,with log2/log3 and 1 respectively,are proven using a very elementary method.This method is then applied to a similar constructive set on a straight line.
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