Packing dimensions of sections of sets

Kenneth John Falconer; M Jarvenpaa

Packing dimensions of sections of sets

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	89-104
Number of pages	16
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	125
Publication status	Published - Jan 1999

Keywords

PROJECTIONS

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title = "Packing dimensions of sections of sets",

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.",

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author = "Falconer, \{Kenneth John\} and M Jarvenpaa",

year = "1999",

month = jan,

language = "English",

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pages = "89--104",

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publisher = "Cambridge University Press",

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T1 - Packing dimensions of sections of sets

AU - Falconer, Kenneth John

AU - Jarvenpaa, M

PY - 1999/1

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N2 - 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.

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UR - https://www.scopus.com/pages/publications/22444452212

M3 - Article

SN - 0305-0041

VL - 125

SP - 89

EP - 104

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

ER -

Packing dimensions of sections of sets

Abstract

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