Beyond 0 and ∞: A solution to the Barge Entropy Conjecture

2021/05/24 by Boroński, Jan P., Činč, Jernej, Oprocha, Piotr
#37A35 #Dynamical Systems (math.DS) #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2105.11133

Abstract

We prove the entropy conjecture of M. Barge from 1989: for every r∈ [0,∞] 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 ∞.

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