The homeomorphisms of the Sierpi\'nski carpet are not classifiable by countable structures
General Topology
2025-01-16 v2 Logic
Abstract
We show that the homeomorphisms of the Sierpi\'nski carpet are not classifiable, up to conjugacy, using isomorphism types of countable structures as invariants.
Cite
@article{arxiv.2404.01472,
title = {The homeomorphisms of the Sierpi\'nski carpet are not classifiable by countable structures},
author = {Dhruv Kulshreshtha and Aristotelis Panagiotopoulos},
journal= {arXiv preprint arXiv:2404.01472},
year = {2025}
}
Comments
13 pages, 6 figures