A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps
Author:
Jaroslaw Kwapisz
Journal:
Trans. Amer. Math. Soc. 354 (2002), 2865-2895
MSC (1991):
Primary 37E45, 37E30
DOI:
https://doi.org/10.1090/S0002-9947-02-02952-5
Published electronically:
March 7, 2002
MathSciNet review:
1895207
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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Additional Information
Jaroslaw Kwapisz
Affiliation:
Department of Mathematical Sciences, Montana State University, Bozeman, Montana 59717-2400
Email:
jarek@math.montana.edu
Received by editor(s):
January 10, 2001
Received by editor(s) in revised form:
August 31, 2001
Published electronically:
March 7, 2002
Additional Notes:
Partially supported by NSF grant DMS-9970725 and MONTS-190729.
Article copyright:
© Copyright 2002
Jaroslaw Kwapisz
