On topological classification of gradient-like systems on surfaces, that are locally direct product
E.Ya. Gurevich1, S. H. Kapkaeva2
Annotation | We introduce a class of gradient-like dynamical systems for which the problem of topological classification is reduced to topological classification of structurally stable systems on the circle obtained by A. Mayer. |
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Keywords | Morse-Smale gradient-like diffeomorphism topological conjugacy, mapping torus, locally direct product. |
1Associate Professor of fundamental mathematics, National Research University Higher School of Economics; egurevich@hse.ru
2Student, Mordovian State University after N.P. Ogarev, Saransk; kapkaevasvetlana@yandex.ru.
Citation: E.Ya. Gurevich, S. H. Kapkaeva, "[On topological classification of gradient-like systems on surfaces, that are locally direct product]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:1 (2015) 37–47 (In Russian)