English

Dynamics on dendrites with closed endpoint sets

Dynamical Systems 2021-04-07 v1

Abstract

We construct dendrites with endpoint sets isometric to any totally disconnected compact metric space. This allows us to embed zero-dimensional dynamical systems into dendrites and solve a problem regarding Li-Yorke and distributional chaos.

Keywords

Cite

@article{arxiv.1907.01884,
  title  = {Dynamics on dendrites with closed endpoint sets},
  author = {Samuel Roth},
  journal= {arXiv preprint arXiv:1907.01884},
  year   = {2021}
}

Comments

14 pages

R2 v1 2026-06-23T10:11:05.668Z