On a Problem of Bremermann Concerning Runge Domains

2005/04/12 by Cezar Joiţa, Joiţa, Cezar
Mathematics · #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV

paper · pdf · doi:10.48550/arxiv.math/0504243

arxiv created 2005/04/12 · arxiv updated 2009/12/01

Abstract

We give an example of a bounded Stein domain in ℂⁿ, with smooth boundary, which is not Runge and whose intersection with every complex line is simply connected.

Related

• On the connectedness of the boundary of q-complete domains
• Higher dimensional worm domains
• On a question of Kollár
• Plurisubharmonic exhaustion functions and almost complex Stein structures
• A Fatou-Bieberbach domain in C² which is not Runge