Periodica Mathematica Hungarica

, Volume 31, Issue 2, pp 123–130 | Cite as

Expansive self-homeomorphisms on G-spaces

  • Ruchi Das


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 numbers

1991. Primary 54C10 Secondary 54H20 

Key words and phrases

G-spaces expansive homeomorphisms 


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Copyright information

© Akadémiai Kiadó 1995

Authors and Affiliations

  • Ruchi Das
    • 1
  1. 1.Department of Mathematics Faculty of ScienceThe M. S. University of BorodaVadodaraIndia

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