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ISSN (Print) 2079-6900

ISSN (Online) 2587-7496

(Middle Volga Mathematical Society Journal)

Scientific Journal

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On topological classification of gradient-like diffeomorphisms that are locally products.

E. Ya. Gurevich1, 2

AnnotationWe define a class of gradient-like diffeomorphisms that can be presented as local products of diffeomorphisms on the circle and on a surface, provide their topological classification and specify topology of the ambient manifold.
Keywordsgradient-like diffeomorphism, topological classification, local product, mapping torus.

1Associate Professor of fundamental mathematics, National Research University Higher School of Economics, elena$_$gurevich@list.ru.

Citation: E. Ya. Gurevich, , "[On topological classification of gradient-like diffeomorphisms that are locally products.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:4 (2015) 7–13 (In Russian)