Expansive self-homeomorphisms on G-spaces |
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Authors: | Ruchi Das |
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Affiliation: | (1) Department of Mathematics Faculty of Science, The M. S. University of Boroda, 390002 Vadodara, India |
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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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Keywords: | 1991. Primary 54C10 Secondary 54H20 |
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