Complete invariant for two-dimentional Morse-Smale diffeomorphisms

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We 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 pages

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Dynamical Systems, Differential Geometry, 57R50

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http://salesiana.dossiersoluciones.com/handle/123456789/77828

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812063
 http://arxiv.org/abs/math/9812063

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arXiv