Transactions of the American Mathematical Society

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

Author(s): Jaroslaw Kwapisz
Journal: Trans. Amer. Math. Soc. 354 (2002), 2865-2895.
MSC (1991): Primary 37E45, 37E30
Posted: March 7, 2002
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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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