ON RECURRENCE IN DENDRITE FLOWS
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Keywords:
Group action, dendrite, recurrentAbstract
Consider a subgroup generated by a finite subset G that acts on
a dendrite X by transformations. (G, X) is called a flow. In this note, it was
proven that the flowing properties are equivalent:
(1) the flow (G, X) is pointwise recurrent;
(2) the flow (G, X) is almost periodic;
(3) the orbit closure relation of the flow (G, X) is closed;
(4) the flow (G, X) is equicontinuous.
Furthermore, we give a transitive flow having only two recurrent points
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