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We prove that oriented and standard shadowing properties are equivalent fortopological flows with finite singularites that are Lyapunov stable or Lyapunovunstable. Moreover, we prove that the direct product $\phi_1 \times \phi_2$ oftwo topological flows has the oriented shdowing property if $\phi_1$ withfinite singuralities has the oriented shadowing property, while $\phi_2$ hasthe limit set consisting of finite singularities that are Lyapunov stable orLyapunov unstable.

Oriented and standard shadowing properties for topological flows