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arXiv · 1204.2121

On the Packing Dimension and Category of Exceptional Sets of Orthogonal Projections

Tuomas Orponen
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Abstract

We consider several classical results related to the Hausdorff dimension of exceptional sets of orthogonal projections and try to find out whether they have reasonable formulations in terms of packing dimension. We also investigate the existence of category versions for Marstrand and Falconer-Howroyd-type projection results.

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Tuomas Orponen. 2012-04-10. On the Packing Dimension and Category of Exceptional Sets of Orthogonal Projections. https://doi.org/10.1007/s10231-014-0401-y

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