Английская Википедия:Dieudonné's theorem
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In mathematics, Dieudonné's theorem, named after Jean Dieudonné, is a theorem on when the Minkowski sum of closed sets is closed.
Statement
Let <math>X</math> be a locally convex space and <math>A,B \subset X</math> nonempty closed convex sets. If either <math>A</math> or <math>B</math> is locally compact and <math>\operatorname{recc}(A) \cap \operatorname{recc}(B)</math> (where <math>\operatorname{recc}</math> gives the recession cone) is a linear subspace, then <math>A - B</math> is closed.[1][2]
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