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1999/2000 Examples Illustrating the Instability of Packing Dimensions of Sections
K. J. Falconer, M. Järvenpää, P. Mattila
Real Anal. Exchange 25(2): 629-640 (1999/2000).


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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K. J. Falconer. M. Järvenpää. P. Mattila. "Examples Illustrating the Instability of Packing Dimensions of Sections." Real Anal. Exchange 25 (2) 629 - 640, 1999/2000.


Published: 1999/2000
First available in Project Euclid: 3 January 2009

zbMATH: 1016.28006
MathSciNet: MR1778515

Primary: 28A12 , 28A80

Keywords: iterated constructions , Packing dimension , plane sections

Rights: Copyright © 1999 Michigan State University Press

Vol.25 • No. 2 • 1999/2000
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