Examples Illustrating the Instability of Packing Dimensions of Sections
K. J. Falconer, M. Järvenpää, and P. Mattila
Source: Real Anal. Exchange Volume 25, Number 2
(1999), 629-640.
Abstract
We shall use the ``iterated Venetian blind'' construction to show that the packing dimensions of plane sections of subsets of $\mathbb R^n$ can depend essentially on the directions of the planes. We shall also establish the instability of the packing dimension of sections under smooth diffeomorphisms.
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Permanent link to this document: http://projecteuclid.org/euclid.rae/1230995397
Zentralblatt MATH identifier: 1016.28006
Mathematical Reviews number (MathSciNet): MR1778515
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