An increasing sequence of Stein manifolds whose limit is not Stein

DOI10.1007/BF01360958zbMath0334.32017OpenAlexW1486293252MaRDI QIDQ1228875

John-Erik Fornaess

Publication date: 1976

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162891

Mathematics Subject Classification ID

Stein spaces (32E10) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (20)

Abstract Basins of Attraction ⋮ A long \(\mathbb C^2\) which is not Stein ⋮ The first thirty years of Andersén-Lempert theory ⋮ \(q\)-completeness and \(q\)-concavity of the union of open subspaces ⋮ Examples of non-autonomous basins of attraction ⋮ Solving the Loewner PDE in complete hyperbolic starlike domains of \(\mathbb{C}^N\) ⋮ Increasing sequences of complex manifolds ⋮ The stable subset of a univalent self-map ⋮ Pseudoconvexity in the theory of complex spaces ⋮ Runge families and increasing unions of Stein spaces ⋮ Resonances in Loewner equations ⋮ Pseudoconvexity and the problem of Levi ⋮ Runge families and inductive limits of Stein spaces ⋮ Polydiscs in complex manifolds ⋮ Rungescher Satz and a condition for Steiness for the limit of an increasing sequence of Stein spaces ⋮ 2 dimensional counterexamples to generalizations of the Levi problem ⋮ The Levi problem on complex spaces with singularities ⋮ Successioni crescenti di varieta’ di Stein ⋮ Holomorphic families of long ℂ²’s ⋮ Notes on the short \(\mathbb{C}^k\)'s

Cites Work

• Überlagerungen holomorph-vollständiger komplexer Räume
• An example concerning polynomial convexity
• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• Zur Theorie der Singularitäten der Funktionen mehrerer komplexen Veränderlichen. Das Konvergenzproblem der Regularitätshüllen

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