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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク String diagram ： ウィキペディア英語版 String diagram In category theory, string diagrams are a way of representing 2-cells in 2-categories. == Definition == The idea is to represent structures of dimension ''d'' by structures of dimension ''2-d'', using the Poincaré duality. Thus, * an object is represented by a portion of plane, * a 1-cell $f:A\backslash to\; B$ is represented by a vertical segment — called a ''string'' — separating the plane in two (the left part corresponding to ''A'' and the right one to ''B''), * a 2-cell $\backslash alpha:f\backslash Rightarrow\; g:A\backslash to\; B$ is represented by an intersection of strings (the strings corresponding to ''f'' above the link, the strings corresponding to ''g'' below the link). The parallel composition of 2-cells corresponds to the horizontal juxtaposition of diagrams and the sequential composition to the vertical juxtaposition of diagrams. 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「String diagram」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.