Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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F-PROXIMAL FLOWS

  • Published : 1998.01.01
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Abstract

The proximal flow have been introduced and studied by J. Auslander [1] and R. Ellis [2]. S. Glasner showed the various properties of the proximal flow in [7]. S. K. Kaul [3] have introduced the first prolongation set which contains the orbit closure. We define the F-proximal flow and $FP_\pi(y)$ by using the first prolongation set and investigated its properties.

Keywords

References

  1. Minimal flows and their extensions J. Auslander
  2. Lectures on topological dynamics R. Ellis
  3. Math. Japonica v.27 On characteristin 0 and locally wealkly almost peridic flows S. Elaydi;S. K. Kaul
  4. Trans. Amer. Math. Soc. v.163 F-minimal sets N. G. Markley
  5. Funk, Ekv. v.24 Weakly equicontinuous flows S. Elaydi
  6. Prolongations in Topological Dynamics, Seminar on Differectial Equations and Dynimical systems Ⅱ Hajek, O.
  7. Amer. Jour. of Math. v.97 Compressibility Properties in Topolofical Dynamics S. Glasner