摘要 : Let be a dendrite with finite branch points and be continuous. Denote by R(f) and the set of recurrent points and the set of non-wandering points of f respectively. Let Omega(0) (f) = D and Omega(n) (f) = Omega (f vertical bar Ome... 展开 Let be a dendrite with finite branch points and be continuous. Denote by R(f) and the set of recurrent points and the set of non-wandering points of f respectively. Let Omega(0) (f) = D and Omega(n) (f) = Omega (f vertical bar Omega(n-1(f))) for all n is an element of N. The minimal m is an element of N boolean OR {infinity} such that Omega(m) (f) = Omega(m+1) (f) is called the depth of f. In this note, we show that Omega(3) (f) = <(R(f))over bar> and the depth of f is at most 3. Furthermore, we show that there exist a dendrite D with finite branch points and f is an element of C-0 (D) such that Omega(3) (f) = <(R(f))over bar> not equal Omega(2)(f). 收起