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Ukrainian Mathematical Journal

, Volume 66, Issue 1, pp 42–49 | Cite as

Classification of the Regular Components of Two-Dimensional Inner Maps

  • I. Yu. Vlasenko
Article
  • 39 Downloads

We propose a topological classification of dynamical systems generated by two-dimensional inner maps on the fully invariant regular components of a wandering set with special attracting boundary (to within the topological conjugacy).

Keywords

Jordan Curve Regular Component Invariant Component Reeb Graph Topological Conjugacy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    J. Milnor, Dynamics in One Complex Variable. Introductory Lectures, Vieweg Verlag, Weisbaden (2000).CrossRefzbMATHGoogle Scholar
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    S. Stoїlow, Leçon sur les Principes Topologiques de la Theorie des Fonctions Analytiques, 2 ed., Gauthier-Villars, Paris (1956).Google Scholar
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    Yu. Yu. Trokhymchuk, “Differentiating, inner mappings, and analyticity criteria,” Proc. Inst. Math., 70 (2008).Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • I. Yu. Vlasenko
    • 1
  1. 1.Institute of Mathematics, Ukrainian National Academy of SciencesKyivUkraine

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