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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An annulus diffeomorphism
with non-Denjoy minimal sets


Author: Mark Turpin
Journal: Proc. Amer. Math. Soc. 126 (1998), 1851-1856
MSC (1991): Primary 58F13
MathSciNet review: 1451833
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Abstract: We construct an annulus diffeomorphism with the property that a countably dense set of irrational rotation numbers are represented only by pseudocircles on which the diffeomorphism acts minimally but is not semi-conjugate to rigid rotation on the circle. This answers a question of Boyland about whether such behavior is possible only at the maximum or minimum of the rotation set.


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Additional Information

Mark Turpin
Affiliation: Department of Mathematics, University of Hartford, West Hartford, Connecticut 06117
Email: mturpin@hartford.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04364-0
PII: S 0002-9939(98)04364-0
Received by editor(s): June 25, 1996
Received by editor(s) in revised form: November 1, 1996
Communicated by: Mary Rees
Article copyright: © Copyright 1998 American Mathematical Society