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Monotone periodic orbits for torus homeomorphisms
Author(s):
Kamlesh
Parwani
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1677-1683.
MSC (2000):
Primary 37E30, 54H20;
Secondary 58F20, 57M60
Posted:
December 21, 2004
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Abstract:
Let  be a homeomorphism of the torus isotopic to the identity and suppose that there exists a periodic orbit with a non-zero rotation vector  . Then  has a topologically monotone periodic orbit with the same rotation vector.
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Additional Information:
Kamlesh
Parwani
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email:
forty2@math.northwestern.edu
DOI:
10.1090/S0002-9939-04-07877-3
PII:
S 0002-9939(04)07877-3
Keywords:
Homeomorphisms,
periodic orbits,
rotation vectors
Received by editor(s):
January 12, 2004
Posted:
December 21, 2004
Communicated by:
Michael Handel
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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