Exceptional projections of sets exhibiting almost dimension conservation

Fuente: arXiv
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Autor principal: Bushling, Ryan E. G.
Formato: Preprint
Publicado: 2022
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author Bushling, Ryan E. G.
author_facet Bushling, Ryan E. G.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2211_02190
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Exceptional projections of sets exhibiting almost dimension conservation
Bushling, Ryan E. G.
Classical Analysis and ODEs
Metric Geometry
28A78
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.
title Exceptional projections of sets exhibiting almost dimension conservation
topic Classical Analysis and ODEs
Metric Geometry
28A78
url https://arxiv.org/abs/2211.02190