$f$-adapted filtration for Morse-Smale diffeomorphisms
We introduce the concept and prove existing of $f$-adapted filtration for Morse-Smale diffeomorphisms on manifold of diomension $n\geq 2$. It is shown that for gradient-like diffeomorphisms given on 3-manifolds, existing of minimal filtration is equivalent to almost tame embedding of separatrices of saddle periodic points.