On interior dynamics of Smale-Vietoris diffeomorphisms

The paper concerns to the study of interior dynamics of new class of Smale-Vietoris diffeomorphisms of closed $n$-manifolds $M^n$. One proved that the restriction of Smale-Vietoris diffeomorphism on the set $T^k\times N \subset M^n$ is conjugate to the inverse limit of $d$-cover of $k$-dimensional torus $T^k$, where $k\geq 1$, and $N$ is a $(n-k)$-manifold with a non-empty boundary.