Runge approximation on convex sets implies the Oka property
Complex Variables
2007-05-23 v5
Abstract
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.
Keywords
Cite
@article{arxiv.math/0402278,
title = {Runge approximation on convex sets implies the Oka property},
author = {Franc Forstneric},
journal= {arXiv preprint arXiv:math/0402278},
year = {2007}
}
Comments
To appear in the Annals of Math