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Jacobians and branch points of real analytic open maps
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https://doi.org/10.1007/s00010-002-8006-8Abstract
The main result is that the Jacobian determinant of an analytic open map f: ℝn → ℝn does not change sign. A corollary of the proof is that the set of branch points of f has dimension ≤ n - 2. © Birkhäuser Verlag, 2002.
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