On the Escaping Set in Topological Dynamics

Published 28 Apr 2019 in math.DS and math.GN | (1904.12333v1)

Abstract: We wish to investigate some elementary problems concerning topological dynamics revolving around our proposed definition of escaping set. We also discuss the notion of escaping set in the induced dynamics of the hyperspace. Moreover, we extend the notion of limit set and escaping set for the general semigroup generated by continuous self maps.

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Kushal Lalwani

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