Holomorphic separability
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. == Formal definition == A complex manifold or complex space X {\displaystyle X} is said to be holomorphically separable, if whenever x ≠ y are two points in X {\displaystyle X} , there exists a holomorphic function f ∈ O ( X ) {\displaystyle f\in {\mathcal {O}}(X)} , such that f(x) ≠ f(y).