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arXiv · 2105.11133

Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture

Jan P. Boroński·Jernej Činč·Piotr Oprocha
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Abstract

We prove the entropy conjecture of M. Barge from 1989: for every $r\in [0,\infty]$ there exists a pseudo-arc homeomorphism $h$, whose topological entropy is $r$. Until now all pseudo-arc homeomorphisms with known entropy have had entropy $0$ or $\infty$.

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Jan P. Boroński, Jernej Činč, Piotr Oprocha. 2021-05-24. Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture. https://arxiv.org/abs/2105.11133

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