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Knaster–Kuratowski–Mazurkiewicz lemma : ウィキペディア英語版 | Knaster–Kuratowski–Mazurkiewicz lemma The Knaster–Kuratowski–Mazurkiewicz lemma is a basic result in mathematical fixed-point theory published in 1929 by Knaster, Kuratowski and Mazurkiewicz.〔.〕 The KKM lemma can be proved from Sperner's lemma and can be used to prove the Brouwer fixed-point theorem. ==Statement== Suppose that a simplex is covered by the closed sets for and that for all the face of that is spanned by for is covered by for then all the have a common intersection point.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Knaster–Kuratowski–Mazurkiewicz lemma」の詳細全文を読む
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