Recurrence and nonwandering sets of local dendrite maps

Given a local dendrite X with set End(X) of endpoints of X countable and (Formula presented.) be a continuous map, we let (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) the sets of periodic points, almost periodic points, recurrent points, nonwandering points, eventually periodic points and eventually almost periodic points of f, respectively. We show that (Formula presented.). On the other hand, we show that (Formula presented.), whenever (Formula presented.). As a consequence, we prove that if the set (Formula presented.) of branch points is finite, then (Formula presented.). We give a counter-example showing that the above results do not hold whenever (Formula presented.) is infinite or End(X) is uncountable.