English

Twofold Cantor sets in R

Metric Geometry 2018-02-13 v1 Dynamical Systems

Abstract

We introduce a class of self-similar sets which we call {\em twofold Cantor sets} KpqK_{pq} in R\mathbb R which are totally disconnected, do not have weak separation property and at the same time have isomorphic self-similar structures.

Keywords

Cite

@article{arxiv.1802.03872,
  title  = {Twofold Cantor sets in R},
  author = {Kirill Kamalutdinov and Andrei Tetenov},
  journal= {arXiv preprint arXiv:1802.03872},
  year   = {2018}
}

Comments

13 pages

R2 v1 2026-06-23T00:18:43.545Z