Geodesic
Exceptional projections of sets exhibiting almost dimension conservation
Ryan E. G. Bushling1
1University of Washington, Department of Mathematics
Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 65–79

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We establish a packing dimension estimate on the exceptional sets of orthogonal projections of sets satisfying an almost dimension conservation law. In particular, the main result applies to homogeneous sets and to certain graph-directed sets. Connections are drawn to results of Rams and Orponen.  
DOI : 10.54330/afm.143289
Keywords: Orthogonal projections, exceptional sets, dimension conservation, packing dimension, homogeneous sets, graph-directed sets

Ryan E. G. Bushling  1

1 University of Washington, Department of Mathematics 
Ryan E. G. Bushling. Exceptional projections of sets exhibiting  almost dimension conservation. Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 65–79. doi: 10.54330/afm.143289
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