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…

Gogolev–Maimon–Kolgomorov conjecture. For all analytic diffeomorphisms $f$ in a sufficiently small neighborhood of $A$, the strong unstable foliation ${\mathcal W}^{uu}$ is transit…