English

Dimension rigidity for cookie-cutter Cantor sets

Dynamical Systems 2019-01-15 v2

Abstract

We show that two cookie-cutter Cantor sets with the same symbolic coding are differentiably equivalent if and only if their Hausdorff dimensions are equal.

Cite

@article{arxiv.1809.07414,
  title  = {Dimension rigidity for cookie-cutter Cantor sets},
  author = {Daniel Ingebretson},
  journal= {arXiv preprint arXiv:1809.07414},
  year   = {2019}
}

Comments

Withdrawn because the main theorem is false

R2 v1 2026-06-23T04:12:10.598Z