Exceptional projections of sets exhibiting almost dimension conservation

Kirjoittajat

  • Ryan E. G. Bushling University of Washington, Department of Mathematics
DOI: https://doi.org/10.54330/afm.143289

Avainsanat:

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

Abstrakti

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.

 

Numero
Vol 49 Nro 1 (2024)
Osasto
Articles

Julkaistu

2024-02-14

Viittaaminen

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

Copyright (c) 2024 Annales Fennici Mathematici

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