Let \(\mathbb{G}_{k}^{cod1}(M^{n})\) , \(k\geqslant 1\) , be the set of axiom A diffeomorphisms such thatthe nonwandering set of any \(f\in\mathbb{G}_{k}^{cod1}(M^{n})\) consists of \(k\) orientable connected codimension one expanding attractors and contracting repellers where \(M^{n}\) is a closed orientable \(n\) -manifold, \(n\geqslant 3\) . We classify the diffeomorphisms from \(\mathbb{G}_{k}^{cod1}(M^{n})\) up to the global conjugacy on nonwandering sets. In addition, we show that any \(f\in\mathbb{G}_{k}^{cod1}(M^{n})\) is \(\Omega\) -stable and is not structurally stable. One describes the topological structure of a supporting manifold \(M^{n}\) .
