On planar sets with prescribed packing dimensions of line sections

Authors
Citation
M. Csornyei, On planar sets with prescribed packing dimensions of line sections, MATH PROC C, 130, 2001, pp. 523-539
Citations number
3
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
ISSN journal
03050041 → ACNP
Volume
130
Year of publication
2001
Part
3
Pages
523 - 539
Database
ISI
SICI code
0305-0041(200105)130:<523:OPSWPP>2.0.ZU;2-X
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 e in a set of packing dimension f(l).