Algebraic approximations of holomorphic vector bundles on affine complex algebraic varietes

Abstract

The primary purpose of this paper is to study the general problem of approximating holomorphic objects of any type by their algebraic counterparts. We obtain a set of criteria, called the Oka-Weil criteria (in short, OW), which characterize tha approximations of certain holomorphic maps and vector bundles by regular maps and algebraic vector bundles respectively on affine complex algebraic varietie