Abstract
Necessary and sufficient conditions for topological conjugacy are established in the case of structurally stable, orientation-preserving diffeomorphisms of a two-dimensional smooth closed oriented manifold that belong to the class , that is, satisfy the following conditions: 1) all the non-trivial basic sets of each are one-dimensional attractors or repellers; 2) there exist only finitely many heteroclinic trajectories lying in the intersections of stable and unstable manifolds of saddle periodic points belonging to trivial basic sets.
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