A recurrent nonrotational homeomorphism on the annulus
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- by Robbert J. Fokkink and Lex G. Oversteegen
- Trans. Amer. Math. Soc. 333 (1992), 865-875
- DOI: https://doi.org/10.1090/S0002-9947-1992-1088020-8
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Abstract:
We construct an area- and orientation-preserving recurrent diffeomorphism on the annulus without periodic points, which is not conjugate to a rotation. The mapping is, however, semiconjugate to an irrational rotation of a circle. Our example is a counterexample to the Birkhoff Conjecture.References
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Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 333 (1992), 865-875
- MSC: Primary 54H20; Secondary 58F08
- DOI: https://doi.org/10.1090/S0002-9947-1992-1088020-8
- MathSciNet review: 1088020