A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces
Journal Article
·
· Sbornik. Mathematics
- N.I. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod (Russian Federation)
- N.P. Ogarev Mordovian State University, Saransk (Russian Federation)
In a paper of Oshemkov and Sharko, three-colour graphs were used to make the topological equivalence of Morse-Smale flows on surfaces obtained by Peixoto more precise. In the present paper, in the language of three-colour graphs equipped with automorphisms, we obtain a complete (including realization) topological classification of gradient-like cascades on surfaces. Bibliography: 25 titles.
- OSTI ID:
- 22364685
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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