# Orbits of smooth functions on 2-torus and their homotopy types

Author
Topology department Institute of Mathematics of NAS of Ukraine
Abstract
This result holds for a larger class of smooth functions $f\colon T^2\to\mathbb{R}$ having the following property: for every critical point $z$ of $f$ the germ of $f$ at $z$ is smoothly equivalent to a homogeneous polynomial $\mathbb{R}^2\to\mathbb{R}$ without multiple factors.
Keywords
diffeomorphism; Morse function; homotopy type
DOI
doi:10.15330/ms.44.1.67-83
Reference
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Pages
67-83
Volume
44
Issue
1
Year
2015
Journal
Matematychni Studii
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