Pseudo-B\"ottcher components of the wandering set of inner mappings
Dynamical Systems
2024-08-22 v2 General Topology
Abstract
This article explores the topology of Pseudo-B\"ottcher totally invariant connected components of the wandering set in dynamical systems generated by on-invertible inner (open surjective isolated) mappings of compact surfaces. We describe the possible topological types of these invariant connected subsets, which are more diverse then corresponding components of homeomorphisms.
Cite
@article{arxiv.2407.19251,
title = {Pseudo-B\"ottcher components of the wandering set of inner mappings},
author = {Igor Yu. Vlasenko},
journal= {arXiv preprint arXiv:2407.19251},
year = {2024}
}