Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-09T09:00:48.143Z Has data issue: false hasContentIssue false

On planar sets with prescribed packing dimensions of line sections

Published online by Cambridge University Press:  18 May 2001

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

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
Copyright
2001 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)