摘要
Let C be a complex field, and let Cn={z=(z1,…,zn)|zi∈C}. R. C. Gunning proved the following Theorem I. If V is a complex analyticvariety of pure dimension n, and F:V→Cn is a complex analytic mapping such that the point p∈V is an isolated point of the subvariety F-1 (F(p))(?)V, then the restriction of the mapping F on some open neighborhood of the point p is a branch