Minimality and Gluing Orbit Property
arXiv:1808.00985
Abstract
We show that a topological dynamical system is either minimal or have positive topological entropy. Moreover, for equicontinuous systems, we show that topological transitivity, minimality and orbit gluing property are equivalent. These facts reflect the similarity and dissimilarity of gluing orbit property with specification property.
15 pages. Results hold for both discrete-time and continuous-time cases, and noninvertible cases as well