%0 Journal Article
%T Jacobians and branch points of real analytic open maps
%A Morris W. Hirsch
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0512335v1