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Every compact set in 𝐂 n is a good compact set

Jan Erik Björk — 1970

Annales de l'institut Fourier

Let K be an compact subset of an open set V in C n . We show the existence of an open neighborhood U of K satisfying the following condition : if f is holomorphic in V and if there exists a sequence of polynomials which approximate f uniformly in some open neighborhood U f of K , there exists a sequence of polynomial which approximate f uniformly in U .

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