1996Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

Packing dimension, Hausdorff dimension and Cartesian product sets

Yimin Xiao

Open publisher page 19 citations

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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What this paper is about

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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OpenAlex reports 19 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Packing dimension, Hausdorff dimension, Dimension (graph theory), Cartesian product, Mathematics, Effective dimension, Dimension function, Product (mathematics)

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