A biholomorphic function is a holomorphic function which is a bijection on the underlying sets and whose set-theoretic inverse is also holomorphic.
If is a bijective holomorphic map of open subsets of complexfied Cartesian space , then the determinant of the Jacobian is nowhere , that is is holomorphic.
(See this MO discussion and also this other MO discussion)
Last revised on July 19, 2014 at 20:49:23. See the history of this page for a list of all contributions to it.