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Реализация ациклической диаграммы Смейла омега-устойчивым диффеоморфизмом поверхности

Огарёв-Online. 2020. № 13. С. 1-10.

Smale diagram of Ω-stable diffeomorfism is a graph, which vertices correspond to basic sets and oriented edges sequentially connect vertices of maximal chain. Smale formulated description of acceptable diagrams, which are realized by a diffeomorfism. Present paper proves that an acyclic graph is implemented by an Ω-stable diffeomorfism on surface with nontrivial basic sets.