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Packing dimension, Hausdorff dimension and Cartesian product sets

Published online by Cambridge University Press:  24 October 2008

Yimin Xiao
Yimin Xiao
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, Ohio 43210, U.S.A e-mail: xiao@math.ohio-state.edu
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 3 , October 1996 , pp. 535 - 546
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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