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Far East Journal of Dynamical Systems

Far East Journal of Dynamical Systems
Volume 27, Issue 1, Pages 1 - 12 (September 2015)
http://dx.doi.org/10.17654/FJDSSep2015_001_012

WEAKLY MIXING SUBSETS FOR SEMIGROUP ACTIONS

Lei Liu and Jinli Pang

Abstract:

Blanchard and Huang [3] gave the notion of weakly mixing subset for classical dynamical system. In this paper, we study weakly mixing subsets of semigroup actions on topological spaces. Some basic concepts are introduced for dynamical systems of semigroup actions. We discuss basic properties of weakly mixing subsets for semigroup actions.

Keywords and phrases:

semigroup actions, weakly mixing subset, transitive subset.

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