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 $X$.