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ON POINTS OF ZERO CHARACTERISTIC PROPERTIES IN DYNAMICAL SYSTEMS

Koo, Ki-Shik

  • Published : 2004.04.01

Abstract

In this paper, we study relationships between zero characteristic properties and minimality of orbit closures or limit sets of points. Also, we characterize the set of points of zero characteristic properties. We show that the set of points of positive zero characteristic property in a compact spaces X is the intersection of negatively invariant open subsets of X.

Keywords

limit set;prolongation;prolongational limit set;minimal set;characteristic zero property.

References

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