On the Topological Classification of Structurally Stable Diffeomorphisms on 3-Manifolds with a 2-Dimensional Expanding Attractor

The paper is devoted to the topological classification of structurally stable diffeomorphisms on three-dimensional manifolds whose non-wandering set contains a 2-dimensional expanding attractor. V.Z. Grines and E.V. Zhuzhoma obtained the topological classification of similar cascades in the dimensio...

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Veröffentlicht in:Lobachevskii journal of mathematics 2021-12, Vol.42 (14), p.3372-3381
Hauptverfasser: Grines, V. Z., Kruglov, E. V., Pochinka, O. V.
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Sprache:eng
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Zusammenfassung:The paper is devoted to the topological classification of structurally stable diffeomorphisms on three-dimensional manifolds whose non-wandering set contains a 2-dimensional expanding attractor. V.Z. Grines and E.V. Zhuzhoma obtained the topological classification of similar cascades in the dimension greater than . They proposed that the embedding of frames of saddle separatrices is tame for dimension equals 3. The tameness of embedding of ones was proved in the paper of V.Z. Grines, E.V. Kruglov, T.V. Medvedev and O.V. Pochinka (2020). This fact allowed to obtain the topological classification of the considering class of diffeomorphisms in dimension 3.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222020081