A dynamical decomposition of the torus into pseudo-circles
classification
🧮 math.DS
math.GN
keywords
irrationalpseudo-circlestorusanosovbuildcircledecompositiondynamical
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We build an irrational pseudo-rotation of the 2-torus which is semiconjugate to an irrational rotation of the circle in such a way that all the fibres of the semi-conjugacy are pseudo-circles. The proof uses the well-known `fast-approximation method' introduced by Anosov and Katok.
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