Weakly pseudoconvex domains in 1-convex spaces and the hyperintersection problem (Q1416677)

Let \(Y\) be a 1-convex space whose exceptional set is denoted by \(S\) and let \(D\) be an open subset of \(Y\). The author shows that if \(D\) is weakly pseudoconvex and \(D \cap S\) is Stein, the \(D\) is Stein. Some very interesting discussions on proofs of results and on examples and counterexamples to the hyperintersection problem are also presented.