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 | References | Similar Articles | Additional Information

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

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