Devaney's Chaos for Maps on $G$-spaces

Ekta Shah

doi:10.11650/tjm/8168

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Home > Journals > Taiwanese J. Math. > Volume 22 > Issue 2 > Article

April, 2018 Devaney's Chaos for Maps on $G$-spaces

Ekta Shah

Taiwanese J. Math. 22(2): 339-348 (April, 2018). DOI: 10.11650/tjm/8168

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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.