Structurally stable diffeomorphisms with basis sets of codimension one

We study the topological and homotopical structure of closed $n$-dimensional manifolds ($n\geqslant 3$) on which there are structurally stable diffeomorphisms with orientable expanding attractors and contracting repellers of codimension one. The results obtained are applied to the topological classification of such diffeomorphisms on the $n$-dimensional torus $T^n$, $n\geqslant 3$.