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Morse-Smale diffeomorphisms with three fixed points

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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.

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Authors and Affiliations

  1. Nizhnii Novgorod State Pedagogical University, Nizhnii Novgorod, Russia

    E. V. Zhuzhoma

  2. Research Institute of Applied Mathematics and Cybernetics, Nizhnii Novgorod State University, Nizhnii Novgorod, Russia

    V. S. Medvedev

Authors
  1. E. V. Zhuzhoma
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  2. V. S. Medvedev
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Correspondence to E. V. Zhuzhoma.

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Original Russian Text © E. V. Zhuzhoma, V. S. Medvedev, 2012, published in Matematicheskie Zametki, 2012, Vol. 92, No. 4, pp. 541–558.

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Zhuzhoma, E.V., Medvedev, V.S. Morse-Smale diffeomorphisms with three fixed points. Math Notes 92, 497–512 (2012). https://doi.org/10.1134/S0001434612090222

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