Jacobians and branch points of real analytic open maps

Details Jacobians and branch points of real analytic open maps Jacobians and branch points of real analytic open maps

2005-12-14

arxiv.org/abs/math/0512335v1

Aequationes Mathematicae 63 (2002) 76-80

Mathematics

Classical Analysis and ODEs

4 pages

Scientific paper

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.

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