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In topology, a branch of mathematics, the Knaster–Kuratowski fan (also known as Cantor's leaky tent or Cantor's teepee depending on the presence or absence of the apex) is a connected topological space with the property that the removal of a single point makes it totally disconnected. Let be the Cantor set, let be the point , and let , for , denote the line segment connecting to . If is an endpoint of an interval deleted in the Cantor set, let ; for all other points in let ; the Knaster–Kuratowski fan is defined as equipped with the subspace topology inherited from the standard topology on . The fan itself is connected, but becomes totally disconnected upon the removal of . ==References== * * 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 fan」の詳細全文を読む スポンサード リンク
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