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Packing dimensions of sections of sets

Published online by Cambridge University Press:  01 January 1999

K. J. FALCONER  and
M. JÄRVENPÄÄ
K. J. FALCONER
Affiliation:
Mathematical Institute, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS, Scotland
M. JÄRVENPÄÄ
Affiliation:
Department of Mathematics, University of Jyväskylä, P. O. Box 35, FIN-40351 Jyväskylä, Finland
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Abstract

We obtain a formula for the essential supremum of the packing dimensions of the sections of sets parallel to a given subspace. This depends on a variant of packing dimension defined in terms of local projections of sets.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 125 , Issue 1 , January 1999 , pp. 89 - 104
Copyright
Cambridge Philosophical Society 1999

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