Runge approximation on convex sets implies the Oka property

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dc.creatorForstneric, Franc
dc.date2004-02-17
dc.date2005-05-06
dc.date.accessioned2026-07-07T06:33:06Z
dc.date.available2026-07-07T06:33:06Z
dc.descriptionWe 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.
dc.descriptionTo appear in the Annals of Math
dc.identifierhttps://arxiv.org/abs/math/0402278
dc.identifierhttp://arxiv.org/abs/math/0402278
dc.identifierAnnals of Math., 163 (2006), 689-707
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99082
dc.subjectComplex Variables
dc.subject32E10, 32E30, 32H02, 32Q28
dc.titleRunge approximation on convex sets implies the Oka property
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