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Jacobians and branch points of real analytic open maps
- Author(s): Hirsch, MW
- et al.
Published Web Locationhttps://doi.org/10.1007/s00010-002-8006-8
The main result is that the Jacobian determinant of an analytic open map f: ℝ → ℝ 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. n n