CHAIN TRANSITIVITY FOR MAPS ON $G$-SPACES


A. Barzanouni, E. Shah




We define and study the notion of chain transitivity for maps on $G$-spaces. Through examples we justify that the notion of $G$-chain transitivity depends on the action of $G$. Further, we obtain characterization of $G$-chain transitivity in terms of chain transitivity. A relation between $G$-chain transitivity and $G$-chain recurrent points of a map is also obtained.