Decomposition theorem on $G$-spaces
Taeyoung Choi and Junhui Kim
Source: Osaka J. Math. Volume 46, Number 1
(2009), 87-104.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ojm/1235574039
Zentralblatt MATH identifier: 05543711
Mathematical Reviews number (MathSciNet): MR2531141
References
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Mathematical Reviews (MathSciNet): MR732087
Zentralblatt MATH: 0537.58034
Digital Object Identifier: doi:10.3836/tjm/1270213874
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Mathematical Reviews (MathSciNet): MR1289410
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2012 © Osaka University and Osaka City University, Departments of Mathematics
Osaka Journal of Mathematics
