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The Chain Recurrent Set for Maps of the Circle
1984
Proceedings of the American Mathematical Society
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For a continuous map of the circle to itself we give necessary and sufficient conditions for the chain recurrent set to be precisely the set of periodic points. We also examine the possible types of examples which can occur, where the set of periodic points is closed and nonempty, but there are nonperiodic, chain recurrent points.
doi:10.2307/2045432
fatcat:wxjt2cyuy5gjbiyr7glvgsb5rm