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 is said to be holomorphically separable, if whenever xy are two points in, there exists a holomorphic function, such that ff.
Often one says the holomorphic functions separate points.

Usage and examples