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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 2-functors ： ウィキペディア英語版 2-functor In the mathematical field of Category theory, a 2-functor is a morphism between 2-categories. Because strict 2-categories can be defined as categories enriched in ''Cat'', the category of small categories, a 2-functor can be defined succinctly as a ''Cat''-enriched functor. Spelling this out a bit, let ''C'' and ''D'' be categories. A 2-functor $F\backslash colon\; C\backslash to\; D$ consists of * a function $F\backslash colon\; \backslash text\; C\backslash to\; \backslash text\; D$, and * for each pair of objects $c,c\text{'}\backslash in\; C$ a functor $F\_\backslash colon\; \backslash text\_(c,c\text{'})\backslash to\backslash text\_D(Fc,Fc\text{'})$ on hom-categories, such that these functors strictly preserves identity objects and commute with compositions. See for more details and for lax versions. ==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「2-functor」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.