English

Uncountably many planar embeddings of unimodal inverse limit spaces

Dynamical Systems 2016-09-12 v2

Abstract

For point xx in the inverse limit space XX with a single unimodal bonding map we construct, with the use of symbolic dynamics, a planar embedding such that xx is accessible. It follows that there are uncountably many non-equivalent planar embeddings of XX.

Keywords

Cite

@article{arxiv.1603.03887,
  title  = {Uncountably many planar embeddings of unimodal inverse limit spaces},
  author = {Ana Anusic and Henk Bruin and Jernej Cinc},
  journal= {arXiv preprint arXiv:1603.03887},
  year   = {2016}
}

Comments

Corrections added and proof of Corollary 1 completed