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

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