Packing dimension, Hausdorff dimension and Cartesian product sets
Yimin Xiao
Abstract
Yimin Xiao
Abstract
Abstract We show that the dimension adim introduced by R. Kaufman (1987) coincides with the packing dimension Dim, but the dimension aDim introduced by Hu and Taylor [7] is different from the Hausdorff dimension. These results answer questions raised by Hu and Taylor.
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Abstract We show that the dimension adim introduced by R. Kaufman (1987) coincides with the packing dimension Dim, but the dimension aDim introduced by Hu and Taylor [7] is different from the Hausdorff dimension. These results answer questions raised by Hu and Taylor.
Key concepts: Packing dimension, Hausdorff dimension, Dimension (graph theory), Cartesian product, Mathematics, Effective dimension, Dimension function, Product (mathematics)