Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture
Dynamical Systems
2025-05-12 v3 General Topology
Abstract
We prove the entropy conjecture of M. Barge from 1989: for every there exists a pseudo-arc homeomorphism , whose topological entropy is . Until now all pseudo-arc homeomorphisms with known entropy have had entropy or .
Keywords
Cite
@article{arxiv.2105.11133,
title = {Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture},
author = {Jan P. Boroński and Jernej Činč and Piotr Oprocha},
journal= {arXiv preprint arXiv:2105.11133},
year = {2025}
}
Comments
Revised version of the paper, following referee reports