Runge approximation on convex sets implies the Oka property

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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.
To appear in the Annals of Math

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Complex Variables, 32E10, 32E30, 32H02, 32Q28

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http://salesiana.dossiersoluciones.com/handle/123456789/99082

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402278
 http://arxiv.org/abs/math/0402278
 Annals of Math., 163 (2006), 689-707

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arXiv