On G-Expansive Homeomorphisms and Generators
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Abstract
In this paper, we define the notion of a G-generator for a homeomorphism on a compact G-space and characterize G-expansive homeomorphism on a compact metric G-space in terms of G-generator. We obtain the relation between G-expansiveness of a pseudoequivariant homeomcrphism on a metric G-space X and expansiveness of its induced homeomorphism on the orbit space X/G. We use this relation to prove the non-existence of pseudoequivariant G-expansive homeomorphism on closed unit interval. Finally, we show that a compact metric G-space admitting a pseudoequivariant G-expansive homeomorphism must be of finite dimension when G is finite.Downloads
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Published
2005-12-01
How to Cite
Das, R. (2005). On G-Expansive Homeomorphisms and Generators. The Journal of the Indian Mathematical Society, 72(1-4), 83–89. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21819
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Copyright (c) 2005 Ruchi Das
This work is licensed under a Creative Commons Attribution 4.0 International License.