Abstract:
We consider a class of diffeomorphism satisfying to S.Smale
Axiom $A$ given on $3$-manifold $M^3$ on suggestion that nonwandering set
of diffeomorphisms consists of connected two-dimensional surface attractor and
repellors. We establish that $M^3$ is a locally-trivial foliation under
the circle with leaves homeomorphic to the torus.