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On planar sets with prescribed packing dimensions of line sections

Published online by Cambridge University Press:  18 May 2001

MARIANNA CSÖRNYEI
MARIANNA CSÖRNYEI
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT. e-mail: [email protected]
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Abstract

We prove that for an arbitrary Borel measurable function f on the space of all planar lines there exists a set which intersects almost every line [lscr ] in a set of packing dimension f([lscr ]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 3 , May 2001 , pp. 523 - 539
Copyright
2001 Cambridge Philosophical Society

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