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Let S$S$ be a surface, K$K$ compact subset of Sin $S$ with finitely many components. Does the frontier of a component of S$S-KK$ have finitely many components?
Let S$S$ be a connected surface and K$K$ a compact subset of S$S$ with finitely many connected components. Let U$U$ be a connected component of S-K$S-K$. Does the frontier of U$U$ in S$S$ have finitely many connected components?
Let S be a surface, K compact subset of S with finitely many components. Does the frontier of a component of S-K have finitely many components?
Let S be a connected surface and K a compact subset of S with finitely many connected components. Let U be a connected component of S-K. Does the frontier of U in S have finitely many connected components?
Let $S$ be a surface, $K$ compact in $S$ with finitely many components. Does the frontier of a component of $S-K$ have finitely many components?
Let $S$ be a connected surface and $K$ a compact subset of $S$ with finitely many connected components. Let $U$ be a connected component of $S-K$. Does the frontier of $U$ in $S$ have finitely many connected components?
Let S be a surface, K compact subset of S with finitely many components. Does the frontier of a component of S-K have finitely many components?
Let S be a connected surface and K a compact subset of S with finitely many connected components. Let U be a connected component of S-K. Does the frontier of U in S have finitely many connected components?
