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arXiv · 1108.2787

Pointwise-recurrent dendrite maps

Issam Naghmouchi
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Abstract

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 pointin D\E(D) is periodic).

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Issam Naghmouchi. 2011-08-13. Pointwise-recurrent dendrite maps. https://arxiv.org/abs/1108.2787

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