Minimal Non-invertible Maps on the Pseudo-Circle

In this article we show that R.H. Bing’s pseudo-circle admits a minimal non-invertible map. This resolves a conjecture raised by Bruin, Kolyada and Snoha in the negative. The main tool is a variant of the Denjoy–Rees technique, further developed by Béguin–Crovisier–Le Roux, combined with detailed st...

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Veröffentlicht in:	Journal of dynamics and differential equations 2021-12, Vol.33 (4), p.1897-1916
Hauptverfasser:	Boroński, Jan P., Kennedy, Judy, Liu, Xiao-Chuan, Oprocha, Piotr
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Online-Zugang:	Volltext
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