A compact set $E \subset \mathbb{C}$ is removable if there is no nonconstant and bounded analytic function in $\mathbb{C} \setminus E$. I can show that any finite set is removable. How do I apply the Baire Category Theorem to show that it is also true for countable compact sets?
2026-03-25 15:57:22.1774454242
Show that a countable compact set is removable.
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