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In topology, a dispersion point or explosion point is a point in a topological space the removal of which leaves the space highly disconnected. More specifically, if ''X'' is a connected topological space containing the point ''p'' and at least two other points, ''p'' is a dispersion point for ''X'' if and only if is totally disconnected (every subspace is disconnected, or, equivalently, every connected component is a single point). If ''X'' is connected and is totally separated (for each two points ''x'' and ''y'' there exists a clopen set containing ''x'' and not containing ''y'') then ''p'' is an explosion point. A space can have at most one dispersion point or explosion point. Every totally separated space is totally disconnected, so every explosion point is a dispersion point. The Knaster–Kuratowski fan has a dispersion point; any space with the particular point topology has an explosion point. If ''p'' is an explosion point for a space ''X'', then the totally separated space is said to be ''pulverized''. ==References== *. (Note that this source uses ''hereditarily disconnected'' and ''totally disconnected'' for the concepts referred to here respectively as totally disconnected and totally separated.) 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「Dispersion point」の詳細全文を読む スポンサード リンク
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