[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2008.45.1.221

TOPOLOGICAL COMPLEXITY OF SEMIGROUP ACTIONS

Yan, Xinhua (College of Mathematics and Information Science Hebei Normal University)
He, Lianfa (College of Mathematics and Information Science Hebei Normal University)

Publication Information

Journal of the Korean Mathematical Society / v.45, no.1, 2008 , pp. 221-228 More about this Journal

Abstract

In this paper, we study the complexity of semigroup actions using complexity functions of open covers. The main results are as follows: (1) A dynamical system is equicontinuous if and only if any open cover has bounded complexity; (2) Weak-mixing implies scattering; (3) We get a criterion for the scattering property.

Keywords

topological complexity function; scattering; weak mixing;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

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