A dynamical decomposition of the torus into pseudo-circles
Dynamical Systems
2015-08-31 v1 General Topology
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.
Keywords
Cite
@article{arxiv.1508.07022,
title = {A dynamical decomposition of the torus into pseudo-circles},
author = {François Béguin and Sylvain Crovisier and Tobias Jäger},
journal= {arXiv preprint arXiv:1508.07022},
year = {2015}
}