Abstract: Each element of the interior
of the set of all diffeomorphisms on a closed
surface having the weak shadowing property satisfies
Axiom A and the no-cycle condition. In this paper, it
is proved that if both attractors and repellors of a
diffeomorphism f
belonging to the interior
are trivial, then f
satisfies the strong transversality condition.
Keywords and phrases: weak shadowing property, shadowing property, Axiom A, no-cycle condition, strong transversality condition, structurally stable.
