Runge approximation on convex sets implies the Oka property

Details Runge approximation on convex sets implies the Oka property Runge approximation on convex sets implies the Oka property

2004-02-17

arxiv.org/abs/math/0402278v5

Annals of Math., 163 (2006), 689-707

Mathematics

Complex Variables

To appear in the Annals of Math

Scientific paper

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.

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