Abstract
We study the notion of sensitivity on $G$-spaces and through examples observe that $G$-sensitivity neither implies nor is implied by sensitivity. Further, we obtain necessary and sufficient conditions for a map to be $G$-sensitive. Next, we define the notion of Devaney's chaos on $G$-space and show that $G$-sensitivity is a redundant condition in the definition.
Citation
Ekta Shah. "Devaney's Chaos for Maps on $G$-spaces." Taiwanese J. Math. 22 (2) 339 - 348, April, 2018. https://doi.org/10.11650/tjm/8168
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