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This article is cited in 16 scientific papers (total in 16 papers)
On non-orientable two-dimensional basic sets on 3-manifolds
E. V. Zhuzhomaa, V. S. Medvedevb a Nizhny Novgorod State Technical University
b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Abstract:
It is proved that a structurally stable diffeomorphism $f\colon M^3\to M^3$ of a closed three-dimensional manifold $M^3$ does not contain in the spectral decomposition
non-orientable expanding attractors or contracting repellers of codimension one.
Received: 06.06.2001
Citation:
E. V. Zhuzhoma, V. S. Medvedev, “On non-orientable two-dimensional basic sets on 3-manifolds”, Sb. Math., 193:6 (2002), 869–888
Linking options:
https://www.mathnet.ru/eng/sm661https://doi.org/10.1070/SM2002v193n06ABEH000661 https://www.mathnet.ru/eng/sm/v193/i6/p83
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Abstract page: | 482 | Russian version PDF: | 216 | English version PDF: | 40 | References: | 62 | First page: | 1 |
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