English

Exceptional projections of sets exhibiting almost dimension conservation

Classical Analysis and ODEs 2025-03-11 v3 Metric Geometry

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 M. Rams and T. Orponen.

Keywords

Cite

@article{arxiv.2211.02190,
  title  = {Exceptional projections of sets exhibiting almost dimension conservation},
  author = {Ryan E. G. Bushling},
  journal= {arXiv preprint arXiv:2211.02190},
  year   = {2025}
}

Comments

Published in Ann. Fenn. Math

R2 v1 2026-06-28T05:09:22.470Z