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arXiv · 1810.07688

Minimal non-invertible maps on the pseudo-circle

Jan P. Boronski·Judy Kennedy·Xiao-Chuan Liu·Piotr Oprocha
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Abstract

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

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Jan P. Boronski, Judy Kennedy, Xiao-Chuan Liu, Piotr Oprocha. 2019-11-04. Minimal non-invertible maps on the pseudo-circle. https://arxiv.org/abs/1810.07688

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