Uniform Convergence, Mixing and Chaos

Lidong WANG, Lingling LI, Jiu DING

Abstract


Let (X, d) be a compact metric space and let f_n : X → X be a sequence of continuous maps such that {f_n} converges uniformly to a continuous and surjective map f: X → X. Weinvestigate the elements of topological mixing and the chaotic behavior possessed by f_n that can be inherited by f.Key Words: Topological mixing; Weakly topological mixing; Distributional chaos in a sequence; Uniform convergence

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DOI: http://dx.doi.org/10.3968/j.sms.1923845220120201.012

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