A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps

Kwapisz, Jaroslaw

doi:10.1090/S0002-9947-02-02952-5

A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps
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by Jaroslaw Kwapisz PDF

Trans. Amer. Math. Soc. 354 (2002), 2865-2895

Abstract:

Diffeomorphisms of the two torus that are isotopic to the identity have rotation sets that are convex compact subsets of the plane. We show that certain line segments (including all rationally sloped segments with no rational points) cannot be realized as a rotation set.

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