English

Zero-entropy dynamical systems with the gluing orbit property

Dynamical Systems 2020-07-03 v4

Abstract

Under the assumption of the gluing orbit property, equivalent conditions to having zero topological entropy are investigated. In particular, we show that a dynamical system has the gluing orbit property and zero topological entropy if and only if it is minimal and equicontinuous.

Keywords

Cite

@article{arxiv.1810.08980,
  title  = {Zero-entropy dynamical systems with the gluing orbit property},
  author = {Peng Sun},
  journal= {arXiv preprint arXiv:1810.08980},
  year   = {2020}
}

Comments

19 pages

R2 v1 2026-06-23T04:47:26.477Z