A dynamical decomposition of the torus into pseudo-circles

Published 27 Aug 2015 in math.DS and math.GN | (1508.07022v1)

Abstract: 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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