Exceptional projections of sets exhibiting almost dimension conservation

Authors

  • Ryan E. G. Bushling University of Washington, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.143289

Keywords:

Orthogonal projections, exceptional sets, dimension conservation, packing dimension, homogeneous sets, graph-directed sets

Abstract

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.

 

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Published

2024-02-14

Issue

Vol. 49 No. 1 (2024)

Section

Articles

License

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Bushling, R. E. G. (2024). Exceptional projections of sets exhibiting almost dimension conservation. Annales Fennici Mathematici, 49(1), 65–79. https://doi.org/10.54330/afm.143289