On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds. (Q1432500)
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scientific article; zbMATH DE number 2074778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds. |
scientific article; zbMATH DE number 2074778 |
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On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds. (English)
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15 June 2004
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The authors give a topological classification of the class \(G_0\) of all orientation-preserving gradient-like diffeomorphisms of a smooth closed-oriented three-dimensional manifold \(M\) such that the stable and unstable manifolds of the periodic saddle points of any diffeomorphism \(f\in G_0\) are disjoint, i.e., the wandering set of the diffeomorphism \(f\in G_0\) contains no heteroclinic points and curves.
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three-dimensional manifold
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orientation-preserving gradient-like diffeomerphisms
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topological classification
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