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 On points of zero characteristic properties in dynamical systems Commun. Korean Math. Soc. 2004 Vol. 19, No. 2, 329-336 Printed June 1, 2004 Ki-Shik Koo Daejeon Universit 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 MSC numbers : Primary 54H20, 58F10 Downloads: Full-text PDF