대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제13권1호
  • /
  • Pages.131-136
  • /
  • 1998
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

F-PROXIMAL FLOWS

  • 발행 : 1998.01.01
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초록

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.

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참고문헌

  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