We discuss the polynomial convexity of compact sets in C^n by applying Kallin’s separation lemma. For example, finite number of balls in C^n, 3 disjoint polydiscs in C^2, edges of tetrahedron in C^2 and trees.
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Title
On polynomial convexity of compact sets in C^n: Some applications of Kallin's lemma
Translated title
On polynomial convexity of compact sets in C^n: Some applications of Kallin's lemma