We present a short proof for a classical result on separating singularities of holomorphic functions. The proof is based on the open mapping theorem and the fusion lemma of Roth, which is a basic tool in complex approximation theory. The same method yields similar separation results for other classes of functions.

MSC Classifications:

30E99, 30E10 show english descriptions None of the above, but in this section
Approximation in the complex domain 30E99 - None of the above, but in this section
30E10 - Approximation in the complex domain

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