Article Contents
Article Contents

# On $C^0$ genericity of various shadowing properties

• We prove that the following properties are $C^0$ generic in the space of discrete dynamical systems on a compact smooth manifold $M$: periodic shadowing (Theorem 1.1) and, assuming dim$M\leq 3$, $\mathcal T_C$-inverse shadowing (Theorem 1.2).
Mathematics Subject Classification: Primary: 37C20, 37C50; Secondary: 54H20.

 Citation: