Abstract
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.
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Das, R. Expansive self-homeomorphisms on G-spaces. Period Math Hung 31, 123–130 (1995). https://doi.org/10.1007/BF01876487
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DOI: https://doi.org/10.1007/BF01876487