Most Cantor sets in ${\mathbb{R}}^N$ are in general position with respect to all projections

Abstract

We prove the theorem stated in the title. This answers a question of John Cobb (1994). We also consider the case of the Hilbert space ${\ell }_2$.

arXiv comment10 pages, no figures

References in corpus (2)

• Cantor sets with high-dimensional projections
• All projections of a typical Cantor set are Cantor sets