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

Jan P. Boroński, Jernej Činč, Piotr Oprocha

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 pseu…