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

Autor:	Boroński, J. P., Činč, J., Oprocha, P.
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems Mathematics - General Topology 37A35
Druh dokumentu:	Working Paper
Popis:	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 $\infty$. Comment: Appendix by G. Kozlowski
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.11133 Zobrazit plný text záznamu View this record from Arxiv