Orbits of smooth functions on 2-torus and their homotopy types |
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Author |
maks@imath.kiev.ua, fb@imath.kiev.ua
Topology department
Institute of Mathematics of NAS of Ukraine
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Abstract |
This result holds for a larger class of smooth functions f:T2→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 R2→R without multiple factors.
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Keywords |
diffeomorphism; Morse function; homotopy type
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DOI |
doi:10.15330/ms.44.1.67-83
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Reference |
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Pages |
67-83
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Volume |
44
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Issue |
1
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Year |
2015
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Journal |
Matematychni Studii
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Full text of paper | |
Table of content of issue |