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http://dx.doi.org/10.4134/CKMS.2004.19.2.329

ON POINTS OF ZERO CHARACTERISTIC PROPERTIES IN DYNAMICAL SYSTEMS  

Koo, Ki-Shik (Department of Information Security Daejeon University)
Publication Information
Communications of the Korean Mathematical Society / v.19, no.2, 2004 , pp. 329-336 More about this Journal
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.;
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