Abstract:
We consider $A$-diffeomorphism $f$ of three-manifold
$M^3$ with a surface one-dimensional attractor or repeller
$\Lambda$ and $ M^2_ \Lambda$ is a locally flat supporting surface
for $\Lambda$, for which the set $M^2_{\Lambda}\setminus \lambda$
consist of the finite number of districts. Each district is
homeomorfic to standard disk and contain only one periodic point
of $A$-diffeomorphism $f$. This paper is devoted to topological
classification of restriction $f$ to $M^2_{\Lambda}$.