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Cut-point
In topology, a cut-point is a point of a connected space such that its removal causes the resulting space to be disconnected. For example every point of a line is a cut-point, while no point of a circle is a cut-point. Cut-points are useful in the characterization of topological continua, a class of spaces which combine the properties of compactness and connectedness and include many familiar spaces such as the unit interval, the circle, and the torus. ==Definition== A cut-point of a connected T1 topological space ''X'', is a point ''p'' in ''X'' such that ''X'' - is not connected. A point which is not a cut-point is called a noncut-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「Cut-point」の詳細全文を読む
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