Abstract
In this paper, we introduce the weak $G$-expansivity which is a generalization of both expansivity and $G$-expansivity. Also, we define $G$-stable and $G$-unstable sets of a homeomorphism on a metric $G$-space $X$ and investigate properties of them. Finally, we consider the decomposition theorem on $G$-spaces.
Citation
Taeyoung Choi. Junhui Kim. "Decomposition theorem on $G$-spaces." Osaka J. Math. 46 (1) 87 - 104, March 2009.
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