On planar sets with prescribed packing dimensions of line sections
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 [script l] in a set of packing dimension f([script l]). [PUBLICATION ABSTRACT]
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 2001-05, Vol.130 (3), p.523-539 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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 [script l] in a set of packing dimension f([script l]). [PUBLICATION ABSTRACT] |
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| ISSN: | 0305-0041 1469-8064 |
| DOI: | 10.1017/S0305004101005047 |