Exceptional projections of sets exhibiting  almost dimension conservation

Ryan E. G. Bushling

doi:10.54330/afm.143289

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.

Issue

Vol. 49 No. 1 (2024)

Section

Articles

Published

2024-02-14

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

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