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Article

О структуре несущего многообразия для систем Морса Смейла без гетероклинических пересечений

It is shown that if a closed smooth orientable manifold Mnn ≥ 3, admits a Morse–Smale system without heteroclinic intersections (the absence of periodic trajectories is additionally required in the case of a Morse–Smale flow), then this manifold is homeomorphic to the connected sum of manifolds whose structure is interconnected with the type and number of points that belong to the non-wandering set of the Morse–Smale system.