Topological equivalence of finitely determined real analytic plane-to-plane map-germs

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Generic smooth plane-to-plane map germs are topologically equivalent to cones of mappings of the circle. We carry out a complete topological classification of smooth stable mappings of the circle and show how this classification leads, via the result mentioned above, to a topological classification of finitely determined real analytic plane-to-plane map germs.
19 pages, 2 figures

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Differential Geometry, Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/226918

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.2141
 http://arxiv.org/abs/0904.2141

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arXiv