Runge approximation on convex sets implies the Oka property

• Autores: Franc Forstneric
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 163, Nº 2, 2006, págs. 689-707
• Idioma: inglés
• DOI: 10.4007/annals.2006.163.689
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that the classical Oka property of a complex manifold Y, concerning the existence and homotopy classification of holomorphic mappings from Stein manifolds to Y, is equivalent to a Runge approximation property for holomorphic maps from compact convex sets in Euclidean spaces to Y .