Title | A necessary condition for conjugacy of diffeomorphisms of Smale-Vietoris |
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Authors | N. V. Isaenkova^{1}, E. V. Zhuzhoma^{2}^{1}Nizhniy Novgorod Academy of the Ministry of the Interior of the Russian Federation ^{2}National research University "Higher school of Economics" |

Annotation | In the report, one gets the necessary condition of conjugacy of Smale-Vietoris diffeomorphisms on basic manifolds. One gets also some sufficient conditions of the existence of conjugacy of Smale-Vietoris diffeomorphisms. All conditions connect with the conjugacy of corresponding endomorphisms. |

Keywords | conjugacy, commutative diagram, topological equivalence, solenoid, nonsingular endomorphism |

Citation | Isaenkova N. V., Zhuzhoma E. V. ''A necessary condition for conjugacy of diffeomorphisms of Smale-Vietoris'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 80-83. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper11.pdf. - Date of access: 04.03.2021. |

**© SVMO, National Research Mordovia State University, 2021**

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