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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}

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References

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P. L. Butzer B. Szőkefalvi-Nagy

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© 1969 Springer Basel AG

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Hirschfeld, R.A. (1969). Conjugacy of Transformation Groups. In: Butzer, P.L., Szőkefalvi-Nagy, B. (eds) Abstract Spaces and Approximation / Abstrakte Räume und Approximation. ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 10. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5869-4_16

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  • DOI: https://doi.org/10.1007/978-3-0348-5869-4_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5871-7

  • Online ISBN: 978-3-0348-5869-4

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