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2004-2005 Transversal mappings between manifolds and non-trivial measures on visible parts.
Esa Järvenpää, Maarit Järvenpää, Juho Niemelä
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Real Anal. Exchange 30(2): 675-688 (2004-2005).


This paper has two aims. On the one hand, we generalize the notion of sliced measures by means of transversal mappings and study dimensional properties of these measures. On the other hand, as an application of these results, we explain in what sense typical visible parts of a set with large Hausdorff dimension are smaller than the set itself. This is achieved by establishing a connection between dimensional properties of generalized slices and those of visible parts.


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Esa Järvenpää. Maarit Järvenpää. Juho Niemelä. "Transversal mappings between manifolds and non-trivial measures on visible parts.." Real Anal. Exchange 30 (2) 675 - 688, 2004-2005.


Published: 2004-2005
First available in Project Euclid: 15 October 2005

zbMATH: 1119.28003
MathSciNet: MR2177426

Primary: ‎28A15 , 28A78 , 28A80

Keywords: generalized sliced measure , Hausdorff dimension , Transversal mapping , visible part

Rights: Copyright © 2004 Michigan State University Press

Vol.30 • No. 2 • 2004-2005
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