Topological equivalence of smooth functions with isolated critical points on a closed surfaces

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We consider functions with isolated critical points on a closed surface. We prove that in a neighborhood of a critical point the function conjugates with Re$z^k$ for the some nonnegative integer k. The full topological invariant of such functions is constructed.
12 pages without figures

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Geometric Topology, 57R45; 57R70; 58C27

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http://salesiana.dossiersoluciones.com/handle/123456789/79522

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9912004
 http://arxiv.org/abs/math/9912004

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arXiv