2 problems

Let $M$ be the compact manifold underlying $Diff^1(M)$, let $Diff^1(M)$ denote the space of $C^1$ diffeomorphisms of $M$, and let $\Omega(f)$ be the non-wandering set of $f$. A sub…

Let $M$ be a connected manifold, and let $f\colon M\to M$ be a $C^1$-generic diffeomorphism. Suppose that the non-wandering set of $f$ has non-empty interior. Generic transitivity…