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This article is cited in 16 scientific papers (total in 16 papers)
Structurally stable diffeomorphisms with basis sets of codimension one
V. Z. Grinesa, E. V. Zhuzhomab a Nizhnii Novgorod State Agricultural Academy
b Nizhny Novgorod State Technical University
Abstract:
We study the topological and homotopical structure of closed $n$-dimensional manifolds
($n\geqslant 3$) on which there are structurally stable diffeomorphisms with orientable expanding attractors and contracting repellers of codimension one. The results obtained are applied to the topological classification of such diffeomorphisms on the $n$-dimensional torus $T^n$, $n\geqslant 3$.
Received: 07.02.2001
Citation:
V. Z. Grines, E. V. Zhuzhoma, “Structurally stable diffeomorphisms with basis sets of codimension one”, Izv. RAN. Ser. Mat., 66:2 (2002), 3–66; Izv. Math., 66:2 (2002), 223–284
Linking options:
https://www.mathnet.ru/eng/im378https://doi.org/10.1070/IM2002v066n02ABEH000378 https://www.mathnet.ru/eng/im/v66/i2/p3
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Abstract page: | 579 | Russian version PDF: | 303 | English version PDF: | 16 | References: | 59 | First page: | 1 |
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