POINTWISE ANOSOV HOMEOMORPHISM

In this talk, we give pointwise de nitions of weak shadowing property and Anosov homeomorphism. We give some further properties of shadowable points and we showthat every weak shadowble point is a shadowable point, on a compact manifold. Also we prove that every Anosov point is a shadowable point and if there exists a non-periodic point x which is Anosov, chain recurrent and non-isolated, then f has positive topological entropy.