Uniform convergence and transitivity

Heriberto Román-Flores

Chaos, Solitons & Fractals, 2008, vol. 38, issue 1, 148-153

Abstract: Let (X,d) be a metric space and fn:X→X a sequence of continuous functions such that (fn) converges uniformly to a function f. If fn is transitive for all n∈N, then the purpose of this work is, on the one hand, to show that f is not necessarily transitive and, on the other, to give sufficient conditions for the transitivity of the limit function f.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:1:p:148-153

DOI: 10.1016/j.chaos.2006.10.052

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