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《Journal of Wuxi University of Light Industry》 1992-01
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The Hausdorff Dimension of A Kind of Generalized High Dimensional Cantor Sets

Xu You(Dep. of Fundamental Course)  
In this paper, by using the theorem about the relationship between the Haus-dorff dimension of Cartesian products of sets and Hausdorff densities, we get the Haus-dorffdemension ofakind of generalized high dimensional Cantor sets. According to there-suit, we can construct the set whose Hausdorff dimension is equal to any given positive number.
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