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Abstract

An illustrative example of the results presented in this paper is the following one. Let M be a compact C-manifold and φ a diffeomorphism of M for which
  1. (a)

    at least one point x 0X has a dense orbit {φ n x 0 : nZ};

     
  2. (b)

    every function f ∈ C(X, C) has a bounded orbit {f o φ n : nZ}

     

Keywords

Compact Abelian Group Dense Orbit Uniform Topology Hilbert Base Ergodic System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Basel AG 1969

Authors and Affiliations

  • R. A. Hirschfeld
    • 1
  1. 1.Mathematisch InstituutKatholieke UniversiteitNijmegenNederland

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