A combinatorial invariant of Morse-Smale diffeomorphisms without heteroclinic intersections on the sphere \(S^n\), \(n\geq 4\) (Q2313616)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A combinatorial invariant of Morse-Smale diffeomorphisms without heteroclinic intersections on the sphere \(S^n\), \(n\geq 4\) |
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A combinatorial invariant of Morse-Smale diffeomorphisms without heteroclinic intersections on the sphere \(S^n\), \(n\geq 4\) (English)
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19 July 2019
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In this paper, a new class of Morse-Smale diffeomorphisms on the sphere \(S^n\), \(n\geq 4\), is considered. Their main feature is that the invariant manifolds of their saddle points have no heteroclinic intersections. The main result establishes that the bicolored graph is a complete topological invariant of such diffeomorphisms.
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Morse-Smale diffeomorphism
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topological conjugacy
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bicolored graph
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