WEAKLY MIXING SUBSETS FOR SEMIGROUP ACTIONS
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.
semigroup actions, weakly mixing subset, transitive subset.