2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77828We consider general Morse-Smale diffeomorphisms on a closed orientable two-dimentional surface. In this paper it is proved that the complete topological invariant of Morse-Smale diffeomorphisms is finite, the algorithm of the construction of the complete topological invariant in explicit form is given and necessary and sufficient conditions of topological conjugacy of Morse-Smale diffeomorphisms is obtained.AMS-LaTeX(2e), 6figures, 40 pagesDynamical SystemsDifferential Geometry57R50text