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This article is cited in 2 scientific papers (total in 2 papers)
Morse–Smale Diffeomorphisms with Three Fixed Points
E. V. Zhuzhomaa, V. S. Medvedevb a Nizhny Novgorod State Pedagogical University
b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Abstract:
It is proved that the closures of separatrices for a Morse–Smale diffeomorphism with three fixed points are flatly embedded spheres if the dimension of the manifold is at least 6 and may be wildly embedded spheres if the dimension of the manifold is 4.
Keywords:
Morse–Smale diffeomorphism with three fixed points, separatrix of a saddle, flatly embedded sphere, wildly embedded sphere, nonwandering set, periodic point.
Received: 28.03.2011
Citation:
E. V. Zhuzhoma, V. S. Medvedev, “Morse–Smale Diffeomorphisms with Three Fixed Points”, Mat. Zametki, 92:4 (2012), 541–558; Math. Notes, 92:4 (2012), 497–512
Linking options:
https://www.mathnet.ru/eng/mzm9888https://doi.org/10.4213/mzm9888 https://www.mathnet.ru/eng/mzm/v92/i4/p541
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Abstract page: | 418 | Full-text PDF : | 175 | References: | 53 | First page: | 15 |
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