English

About $C^{1}$-minimality of the hyperbolic Cantor sets

Dynamical Systems 2014-01-28 v2

Abstract

In this work we prove that a C1+αC^{1+\alpha}-hyperbolic Cantor set contained in S1S^1, close to an affine Cantor set, is not C1C^{1}-minimal.

Cite

@article{arxiv.1306.4012,
  title  = {About $C^{1}$-minimality of the hyperbolic Cantor sets},
  author = {Liane Bordignon and Jorge Iglesias and Aldo Portela},
  journal= {arXiv preprint arXiv:1306.4012},
  year   = {2014}
}

Comments

Some changes were made in the introduction of the previous version

R2 v1 2026-06-22T00:35:20.774Z