Expansive self-homeomorphisms on G-spaces
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Beginning with examples, the notion ofG-expansiveness over a metric spaceX on which a topological groupG acts is introduced. Some conditions are determined under which expansiveness onX impliesG-expansiveness. A characterization of aG-expansive homeomorphism is obtained which in turn gives a sufficient condition for the homeomorphic extension of aG-expansive homeomorphism to beG-expansive. At the end, some results are stated in the form of concluding remarks.
Mathematics subject classification numbers1991. Primary 54C10 Secondary 54H20
Key words and phrasesG-spaces expansive homeomorphisms
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