## Real Analysis Exchange

### Examples Illustrating the Instability of Packing Dimensions of Sections

#### 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.

#### Article information

Source
Real Anal. Exchange, Volume 25, Number 2 (1999), 629-640.

Dates
First available in Project Euclid: 3 January 2009

https://projecteuclid.org/euclid.rae/1230995397

Mathematical Reviews number (MathSciNet)
MR1778515

Zentralblatt MATH identifier
1016.28006

#### Citation

Falconer, K. J.; Järvenpää, M.; Mattila, P. Examples Illustrating the Instability of Packing Dimensions of Sections. Real Anal. Exchange 25 (1999), no. 2, 629--640. https://projecteuclid.org/euclid.rae/1230995397

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