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The Barge-Martin decomposition theorem for pointwise nonwandering maps of the interval

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1342)

Keywords

  • Closed Interval
  • Inverse Limit
  • Nonempty Interior
  • Countable Union
  • Disjoint Interior

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References

  1. M. Barge and J. Martin, Dense periodicity on the interval, Proc. Amer. Math. Soc. 94 (1985), 731–735.

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  2. —, Chaos, periodicity, and snakelike continua, Trans. Amer. Math. Soc. 289 (1985), 355–365.

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  3. —, Dense orbits on the interval, preprint, 1984.

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  4. Z. Nitecki, Topological dynamics on the interval, Ergodic theory and dynamical systems II. (College Park, Md., 1979–80), pp. 1–73. Progress in Math., 21, Birkhäuser, Boston, 1982.

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© 1988 Springer-Verlag

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Coven, E.M., Mulvey, I. (1988). The Barge-Martin decomposition theorem for pointwise nonwandering maps of the interval. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082825

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  • DOI: https://doi.org/10.1007/BFb0082825

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50174-9

  • Online ISBN: 978-3-540-45946-0

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