On the connectedness of the boundary of q-complete domains
Abstract
The boundary of every relatively compact Stein domain in a complex manifold of dimension at least 2 is connected. No assumptions on the boundary regularity are necessary. The same proofs hold also for q-complete domains, and in the context of almost complex manifolds as well.
Fields of Study & Subjects
Holomorphic and Operator Theory
Rings
Modules
and Algebras
Analytic and geometric function theory
Publication details
- Journal / source
- Annales Polonici Mathematici
- Publisher
- Institute of Mathematics, Polish Academy of Sciences
- Publication date
- 19 May 2026
- Language
- EN