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In mathematics, and especially general topology, the interlocking interval topology is an example of a topology on the set , i.e. the set of all positive real numbers that are not positive whole numbers.〔Steen & Seebach (1978) pp.77 – 78〕 To give the set ''S'' a topology means to say which subsets of ''S'' are "open", and to do so in a way that the following axioms are met:〔Steen & Seebach (1978) p.3〕 # The union of open sets is an open set. # The finite intersection of open sets is an open set. # ''S'' and the empty set ∅ are open sets. == Construction == The open sets in this topology are taken to be the whole set ''S'', the empty set ∅, and the sets generated by : The sets generated by ''Xn'' will be formed by all possible unions of finite intersections of the ''Xn''.〔Steen & Seebach (1978) p.4〕 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「Interlocking interval topology」の詳細全文を読む スポンサード リンク
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