Let \(\mathbb{G}_{k}^{cod1}(M^{n})\), \(k\geqslant 1\), be the set of axiom A diffeomorphisms such that the 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 \(M^{n}\).

令\(\mathbb{G}_{k}^{cod1}(M^{n})\)、\(k\geqslant 1\)为公理 A 微分同胚的集合，使得任意\ (f\in\mathbb{G}_{k}^{cod1}(M^{n})\)由\(k\) 个可定向连通余维一扩展吸引子和收缩排斥子组成，其中\(M^{n} \)是一个封闭的可定向\(n\)流形，\(n\geqslant 3\)。我们对从\(\mathbb{G}_{k}^{cod1}(M^{n})\)到非游走集上的全局共轭的微分同胚进行分类。此外，我们证明任何\(f\in\mathbb{G}_{k}^{cod1}(M^{n})\)是\(\Omega\)稳定的，并且在结构上不稳定。一种描述支持流形\(M^{n}\)的拓扑结构。