대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제13권1호
  • /
  • Pages.123-129
  • /
  • 1998
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

SOME DYNAMICAL PROPERTIES OF A WEAKLY ALMOST PERIODIC FLOW

  • 발행 : 1998.01.01
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초록

In this paper, we study some dynamical properties of a weakly almost periodic flow. In particular we get, in a weakly almost periodic flow (X,T), the groups I and A(I) of all automorphisms of I are isomorphic, where E(X) is the enveloping semigroup of (X,T) and I is the minimal right ideal in E(X).

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참고문헌

  1. Mininmal flows and their extensions J. Auslander
  2. Proc. Amer. Math. Soc. v.11 On the roximal relation in topological dynamics J. Auslander
  3. Trans. Amer. Math. Soc. v.123 Regular minimal sets, I. J. Auslander
  4. Trans. Amer. Math. Soc. v.11 A semigruop associated with a transformation group R. Ellis
  5. Lectures on topological dynamics R. Ellis
  6. Trans. Amer. Math. Soc. v.313 Weakly almost periodic flowa R. Ellis;M. Nerukar
  7. J. RIBS. v.25 A characterization of the objects in the enveloping semigrioup of a flow and the relation among different objects H. S. Song