Monotonicity of maximal equicontinuous factors and an application to toral flows

Till Hauser; Tobias Jäger

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arXiv · 1711.05672

Monotonicity of maximal equicontinuous factors and an application to toral flows

Till Hauser·Tobias Jäger

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Abstract

We show that for group actions on locally connected spaces the maximal equicontinuous factor map is always monotone, that is, the preimages of single points are connected. As an application, we obtain that if the maximal continuous factor of a homeomorphism of the two-torus is minimal, then it is either (i) an irrational translation of the two-torus, (ii) an irrational rotation on the circle or (iii) the identity on a singleton.

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Till Hauser, Tobias Jäger. 2017-11-15. Monotonicity of maximal equicontinuous factors and an application to toral flows. https://arxiv.org/abs/1711.05672

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