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

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

2012-04-10

arxiv.org/abs/1204.2121v1

Mathematics

Classical Analysis and ODEs

41 pages, 5 figures

Scientific paper

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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