Isolated chain recurrent points for one-dimensional maps
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- by Louis Block and John E. Franke PDF
- Proc. Amer. Math. Soc. 94 (1985), 728-730 Request permission
Abstract:
For a continuous map of the interval to itself or of the circle to itself, we show that any isolated chain recurrent point is eventually periodic. Furthermore, an isolated chain recurrent point which is not in the orbit of a critical point and has no critical point in its orbit is periodic.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 728-730
- MSC: Primary 58F08; Secondary 54H20, 58F20
- DOI: https://doi.org/10.1090/S0002-9939-1985-0792292-6
- MathSciNet review: 792292