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A necessary condition for conjugacy of diffeomorphisms of Smale-Vietoris

TitleA necessary condition for conjugacy of diffeomorphisms of Smale-Vietoris
AuthorsN. V. Isaenkova1, E. V. Zhuzhoma2
1Nizhniy Novgorod Academy of the Ministry of the Interior of the Russian Federation
2National research University "Higher school of Economics"
AnnotationIn 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.
Keywordsconjugacy, commutative diagram, topological equivalence, solenoid, nonsingular endomorphism
CitationIsaenkova 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: 10.12.2019.