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 On torus homeomorphisms whose rotation set is an interval


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We prove that for a torus homeomorphism isotopic to the identity and with a lift whose rotation set is an interval, either every rational point in the rotation set is realized by a periodic orbit, or there exists an annular, essential, periodic set. In the latter case we give a qualitative description of the dynamics.



Author: Pablo Dávalos

Source: https://archive.org/



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