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In mathematics in complex analysis, the concept of holomorphic separability is a measure of the richness of the set of holomorphic functions on a complex manifold or complex-analytic space.
A complex manifold or complex space is said to be holomorphically separable, if whenever x ≠ y are two points in , there exists a holomorphic function , such that f(x) ≠ f(y).[1]
Often one says the holomorphic functions separate points.
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