ABSTRACT
Geometric convexity properties of complex manifolds or, more generally, complex spaces, imply strong analytic consequences. For the case of geometric 1-completeness, this is the heart of the solution of the Levi problem together with theorem B of Cartan and Serre. This chapter considers the case in which the complex space is known to be Stein, or, in other words, 1-complete. It discusses the application of the Lefschetz result of Hamm as well as the implication of the Bertini–Sard theorem.
