On interior dynamics of Smale-Vietoris diffeomorphisms
E.V. Zhuzhoma1, N.V. Isaenkova2
| Annotation | The paper concerns to the study of interior dynamics of new class of Smale-Vietoris diffeomorphisms of closed $n$-manifolds $M^n$. One proved that the restriction of Smale-Vietoris diffeomorphism on the set $T^k\times N \subset M^n$ is conjugate to the inverse limit of $d$-cover of $k$-dimensional torus $T^k$, where $k\geq 1$, and $N$ is a $(n-k)$-manifold with a non-empty boundary. |
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| Keywords | topological equivalence, nonwandering set, inverse limit |
1Professor of Mathematics Chair, Nizhny Novgorod State Pedagogical University, Nizhny Novgorod; zhuzhoma@mail.ru.
2Aspirant faculty of mathematical analysis, Nizhny Novgorod State Pedagogical University, Nizhny Novgorod; nisaenkova@mail.ru.
Citation: E.V. Zhuzhoma, N.V. Isaenkova, "[On interior dynamics of Smale-Vietoris diffeomorphisms]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,14:3 (2012) 52–58 (In Russian)
