Author:
Sun Taixiang,Zhang Yongping,Zhang Xiaoyan
Abstract
LetGbe a graph, andf:G→Gbe a continuous map with periodic points. In this paper we show that the following five statements are equivalent.(1)fis equicontinuous.(2) There exists some positive integerNsuch thatfNis uniformly convergent.(3)fisS-equicontinuous for some positive integer sequenceS= {n1<n2< …}.(4) Ω(x, f) =ω(x, f)for everyx∈G.(5)is a periodic map.
Publisher
Cambridge University Press (CUP)
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