Topological fractals revisited
General Topology
2024-05-30 v2 Dynamical Systems
Abstract
We prove that every Peano continuum with uncountably many local cut points is a topological fractal. This extends some recent results and it partially answers a conjecture by Hata. We also discuss the number of mappings which are necessary for witnessing the structure of a topological fractal.
Cite
@article{arxiv.2209.15394,
title = {Topological fractals revisited},
author = {Klára Karasová and Benjamin Vejnar},
journal= {arXiv preprint arXiv:2209.15394},
year = {2024}
}