  Let $M^n$, $n\geq 3$, be a closed orientable $n$-manifold and
$\mathbb{D}_k(M^n;a,b,c)$ the set of axiom A diffeomorp\-hisms $f: M^n\to M^n$
satisfying the following conditions: (1) $f$ has $k\geq 1$ nontrivial basic
sets each is either an orientable codimension one expanding attractor or an
orientable codimension one contracting repeller, and other trivial basic sets
which are $a$ sinks, $b$ sources, $c$ saddles; (2) the invariant manifolds of
isolated saddles are intersected transversally. We classify the diffeomorphisms
from $\mathbb{D}_k(M^n;a,b,c)$ up to the global conjugacy on non-wandering sets
for the following subsets $\mathbb{S}_k(M^n;a,b,c), \mathbb{P}_k(M^n;0,0,1),
\mathbb{M}_k(M^n;0,0,1)$ of $\mathbb{D}_k(M^n;a,b,c)$ where
$\mathbb{S}_k(M^n;a,b,c)$ satisfies to the following conditions:
  ($1_{\mathbb{S}}$) every nontrivial basic set of any
$f\in\mathbb{S}_k(M^n;a,b,c)$ is uniquely bunched, and there is at least one
nontrivial attractor and at least one nontrivial repeller, i.e. $k\geq 2$;
  ($2_{\mathbb{S}}$) $c\geq 1$ and all isolated saddles have the same Morse
index belonging to $\{1,n-1\}$.
  The subset $\mathbb{P}_k(M^n;0,0,1)\subset\mathbb{D}_k(M^n;0,0,1)$ satisfies
to the following conditions:
  ($1_{\mathbb{P}}$) any boundary point of $f\in\mathbb{P}_k(M^n;0,0,1)$ is
fixed;
  ($2_{\mathbb{P}}$) a unique isolated saddle has Morse index different from
$\{1,n-1\}$.
  The subset $\mathbb{M}_k(M^n;0,0,1)\subset\mathbb{D}_k(M^n;0,0,1)$ satisfies
to the following conditions:
  ($1_{\mathbb{M}}$) any boundary point of $f\in\mathbb{M}_k(M^n;0,0,1)$ is
fixed;
  ($2_{\mathbb{M}}$) a unique isolated saddle has Morse index belonging to
$\{1,n-1\}$.
  The classification is based on a description of topological structure of
supporting manifolds $M^n$.
