Equicontinuity of maps on dendrites

Javier Camargo, Michael Rincón and Carlos Uzcátegui

Chaos, Solitons & Fractals, 2019, vol. 126, issue C, 1-6

Abstract: Given a dendrite X and a continuous map f: X → X, we show the following are equivalent: (i) ωf is continuous and Per(f)¯=⋂n∈Nfn(X); (ii) ω(x,f)=Ω(x,f) for each x ∈ X; and (iii) f is equicontinuous. Furthermore, we present some examples illustrating our results.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:126:y:2019:i:c:p:1-6

DOI: 10.1016/j.chaos.2019.05.033

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