Abstract

Let G be a graph and f: G → G be a continuous map. Denote by P(f), R(f), SA(f) and UΓ(f) the sets of periodic points, recurrent points, special α-limit points and unilateral γ-limit points of f, respectively. In this paper, we show that R(f) ⊂ SA(f) = UΓ(f) ∪ P(f) ⊂ \(\overline {R(f)} \).

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