On the group of homeomorphisms of the Basilica
Group Theory
2024-05-30 v2 General Topology
Abstract
We show that the group of all homeomorphisms of the Basilica fractal coincides with a group of transformations of a certain non-locally finite ribbon tree. Also, we show that Basilica Thompson group defined by Belk and Forrest is dense in the group of all orientation preserving homeomorphisms of the Basilica.
Cite
@article{arxiv.2303.11482,
title = {On the group of homeomorphisms of the Basilica},
author = {Yury A. Neretin},
journal= {arXiv preprint arXiv:2303.11482},
year = {2024}
}
Comments
4 pages