Most Cantor sets in $\mathbb R^N$ are in general position with respect to all projections
Volume 70 / 2022
Bulletin Polish Acad. Sci. Math. 70 (2022), 53-61
MSC: Primary 54B20; Secondary 54E52, 54C25, 46C05.
DOI: 10.4064/ba221106-7-11
Published online: 21 November 2022
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 $\ell _2$.
