Mathematics

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

E. Ya. Gurevich

State University – Higher School of Economics

Abstract: We 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.

Keywords: gradient-like diffeomorphism, topological classification, local product, mapping torus.

UDC: 517.938

Received: 11.12.2015

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