Stein manifold
= Stein manifold
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A <complex manifold> is Stein if its global <holomorphic functions> separate points, give local coordinates, and make it holomorphically convex: the holomorphic hull of every compact set is compact. Closed complex submanifolds of affine complex space are examples, including products of copies of $\mathbb C$ and $\mathbb C^*$. <Cartan theorem B> makes these spaces useful for acyclic covers in <sheaf cohomology>.