Exceptional projections of sets exhibiting almost dimension conservation

Författare

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

DOI:

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

Nyckelord:

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.

 

Nedladdningar

Publicerad

2024-02-14

Nummer

Vol 49 Nr 1 (2024)

Sektion

Articles

Licens

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

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