English

Folding points of unimodal inverse limit spaces

Dynamical Systems 2020-01-08 v1

Abstract

We study the properties of folding points and endpoints of unimodal inverse limit spaces. We distinguish between non-end folding points and three types of end-points (flat, spiral and nasty) and give conditions for their existence and prevalence. Additionally, we give a characterisation of tent inverse limit spaces for which the set of folding points equals the set of endpoints.

Keywords

Cite

@article{arxiv.1902.00188,
  title  = {Folding points of unimodal inverse limit spaces},
  author = {Lori Alvin and Ana Anušić and Henk Bruin and Jernej Činč},
  journal= {arXiv preprint arXiv:1902.00188},
  year   = {2020}
}