6533b86ffe1ef96bd12ce58d

RESEARCH PRODUCT

Packing dimensions of sections of sets

M. JärvenpääKenneth J. Falconer

subject

CombinatoricsPacking dimensionGeneral MathematicsEssential supremum and essential infimumSubspace topologyMathematics

description

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.

https://doi.org/10.1017/s0305004198002977