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This article is cited in 15 scientific papers (total in 15 papers)
A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces
V. Z. Grinesa, S. H. Kapkaevab, O. V. Pochinkaa a N. I. Lobachevski State University of Nizhni Novgorod
b Ogarev Mordovia State University, Saransk
Abstract:
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.
Keywords:
Morse-Smale diffeomorphism, gradient-like diffeomorphism, three-colour graph, topological classification.
Received: 15.01.2014
Citation:
V. Z. Grines, S. H. Kapkaeva, O. V. Pochinka, “A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces”, Mat. Sb., 205:10 (2014), 19–46; Sb. Math., 205:10 (2014), 1387–1412
Linking options:
https://www.mathnet.ru/eng/sm8328https://doi.org/10.1070/SM2014v205n10ABEH004423 https://www.mathnet.ru/eng/sm/v205/i10/p19
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Abstract page: | 560 | Russian version PDF: | 191 | English version PDF: | 19 | References: | 55 | First page: | 37 |
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