Pointwise-recurrent dendrite maps
نویسندگان
چکیده
Let D be a dendrite and f : D → D a continuous map. Denote by E(D) and B(D) the sets of endpoints and branch points of D respectively. We show that if E(D) is countable (resp. B(D) is discrete) then f is pointwise-recurrent if and only if f is pointwise periodic homeomorphism (resp. every point in D\E(D) is periodic).
منابع مشابه
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