Homeomorphisms of regular curves. (English) Zbl 1380.37086
Summary: In this paper, we study some qualitative properties of homeomorphisms of regular curves. We prove among other things that if \(f\) is a homeomorphism of a regular curve then each \(\omega\)-limit set (respectively, \(\alpha\)-limit set) is minimal.
MSC:
37E15 | Combinatorial dynamics (types of periodic orbits) |
37B05 | Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) |