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Affine simplices in Oka manifolds

Affine simplices in Oka manifolds

We show that the homotopy type of a complex manifold X satisfying the Oka property is captured by holomorphic maps from the affine spaces \mathbb C^n, n\geq 0 , into X . Among such X are all complex Lie groups and their homogeneous spaces. We present generalisations of this result, …