Jacobians and branch points of real analytic open maps

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The main result is that the Jacobian determinant of an analytic open map from Euclidean n-space to itself does not change sign. A corollary of the proof is that the set of branch points has dimension < n-1.
4 pages

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Classical Analysis and ODEs, 26E05, 26B10 (primary) 54C10 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/106234

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512335
 http://arxiv.org/abs/math/0512335
 Aequationes Mathematicae 63 (2002) 76-80

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arXiv