A construction of almost automorphic minimal sets

Roman Hric; Tobias Jäger

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arXiv · 1302.3024

A construction of almost automorphic minimal sets

Roman Hric·Tobias Jäger

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Abstract

We describe a general procedure to construct topological extensions of given skew product maps with one-dimensional fibres, by blowing up a countable number of single points to vertical segments. This allows to produce various examples of unusual dynamics, including almost automorphic minimal sets of almost periodically forced systems, point-distal but non-distal homeomorpisms of the torus (as first constructed by Rees) or minimal sets of quasiperiodically forced interval maps which are not filled-in.

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Roman Hric, Tobias Jäger. 2013-02-13. A construction of almost automorphic minimal sets. https://arxiv.org/abs/1302.3024

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