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Conditions of topological conjugacy of gradient-like diffeomorphisms on irreducible 3-manifolds

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Abstract

In this paper, we obtain the topological classification of gradient-like diffeomorphisms and the conditions of topological conjugacy of Morse-Smale diffeomorphisms with finite sets of heteroclinic trajectories on three-dimensional manifolds.

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References

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Authors and Affiliations

  1. Nizhnii Novgorod State Agriculture Academy, USSR

    V. Z. Grines & Kh. Kh. Kalai

Authors
  1. V. Z. Grines
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  2. Kh. Kh. Kalai
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Translated fromMatematicheskie Zametki, Vol. 59, No. 1, pp. 73–80, January, 1996.

This research was partially supported by the Russian Foundation for Basic Research under grant No. 93-01-01-407, by the International Science Foundation under grant R99000, and by the Foundation “Cultural Initiative”.

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Grines, V.Z., Kalai, K.K. Conditions of topological conjugacy of gradient-like diffeomorphisms on irreducible 3-manifolds. Math Notes 59, 52–57 (1996). https://doi.org/10.1007/BF02312465

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