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Holomorphically separable : ウィキペディア英語版
Holomorphically separable

In mathematics in complex analysis, the concept of holomorphic separability is a measure for
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 is said to be holomorphically separable,
if whenever ''x'' ≠ ''y'' are two points in X, there exists a holomorphic function f \in \mathcal O(X), such that ''f''(''x'') ≠ ''f''(''y'').
Often one says the holomorphic functions ''separate points''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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