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On the point transitivity of symbolic flows

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Abstract

It is shown that a symbolic flow with infinite phase groupT is point transitive ifT is abelian.

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References

  1. M. Morse andG. A. Hedlund, Symbolic dynamics,Amer. J. Math. 60, (1938) 815–866.

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  2. W. H. Gottschalk, Minimal sets occur maximally,Trans. New York Acad. Sci. 26 (1964) 348–353.

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  3. W. H. Gottschalk andG. A. Hedlund, Topological Dynamics,Amer. Math. Soc. Coll. Pub. 36, Providence, 1955.

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Authors and Affiliations

  1. Department of Mathematics, University of Massachusetts, 01002, Amherst, Massachusetts, USA

    E. G. Manes

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  1. E. G. Manes
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Communicated by W. H. Gottschalk

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Manes, E.G. On the point transitivity of symbolic flows. Math. Systems Theory 10, 259–261 (1976). https://doi.org/10.1007/BF01683277

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  • DOI: https://doi.org/10.1007/BF01683277

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