Local vs. global hyperconvexity, tautness or k -completeness for unbounded open sets in 𝒞 n Nikolai Nikolov, Peter Pflug (2005) Annali della Scuola Normale Superiore di Pisa - Classe di Scienze Some known localization results for hyperconvexity, tautness or k -completeness of bounded domains in ℂ n are extended to unbounded open sets in 𝒞 n .