Cantor subsystems on the Gehman dendrite
Dynamical Systems
2024-11-21 v1
Abstract
In the present note we focus on dynamics on the Gehman dendrite . It is well-known that the set of its endpoints is homeomorphic to a standard Cantor ternary set. For any given surjective Cantor system we provide constructions of (i) a mixing but not exact and (ii) an exact map on , such that in both cases the subsystem formed by is conjugate to the initially chosen system on .
Cite
@article{arxiv.2411.13336,
title = {Cantor subsystems on the Gehman dendrite},
author = {Piotr Oprocha and Jakub Tomaszewski},
journal= {arXiv preprint arXiv:2411.13336},
year = {2024}
}