Abstract
Let X be a dendrite. We say that X has the APR-property provided that for each continuous self-mapping f of X, <(AP(f))over bar> = <(R(f))over bar>, where AP(f) and R(f) are the sets of almost periodic and recurrent points off respectively. In this note, we prove that X has the APR-property if and only if its set of endpoints is countable. (C) 2016 Elsevier Ltd. All rights reserved.