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On the nonwandering sets of diffeomorphisms of surfaces

Published online by Cambridge University Press:  22 January 2016

Tokihiko Koike
Tokihiko Koike*
Affiliation:
Kyoto University
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Let M be a compact manifold without boundary. Let f: M → M be a C1 diffeomorphism. Then the nonwandering set Ω(f) is defined to be the closed invariant set consisting of x ∈ M such that for any neighborhood U of x, there exists an integer n ≠ 0 satisfying fn(U) ∩ U ≠ ø. In particular, the set Per (f) of all periodic points is included in Ω(f).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 79 , October 1980 , pp. 1 - 22
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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