Open Ω ⊂ ℂⁿ such that some holomorphic function on Ω cannot be extended past any boundary point. Cartan-Thullen: Ω is domain-of-holomorphy iff holomorphically convex. Equivalent to pseudoconvex (Levi problem, solved by Oka 1942).
Open Ω ⊂ ℂⁿ such that some holomorphic function on Ω cannot be extended past any boundary point. Cartan-Thullen: Ω is domain-of-holomorphy iff holomorphically convex. Equivalent to pseudoconvex (Levi problem, solved by Oka 1942).