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.