English

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

General Topology 2022-12-06 v2 Geometric Topology

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 2\ell _2.

Keywords

Cite

@article{arxiv.2104.10495,
  title  = {Most Cantor sets in $\mathbb R^N$ are in general position with respect to all projections},
  author = {Olga Frolkina},
  journal= {arXiv preprint arXiv:2104.10495},
  year   = {2022}
}

Comments

10 pages, no figures