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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 Lax natural transformation ： ウィキペディア英語版 Lax natural transformation In the mathematical field of category theory, specifically the theory of 2-categories, a lax natural transformation is a kind of morphism between 2-functors. ==Definition== Let ''C'' and ''D'' be 2-categories, and let $F,G\backslash colon\; C\backslash to\; D$ be 2-functors. A lax natural transformation $\backslash alpha\backslash colon\; F\backslash to\; G$ between them consists of * a morphism $\backslash alpha\_c\backslash colon\; F(c)\backslash to\; G(c)$ in ''D'' for every object $c\backslash in\; C$ and * a 2-morphism $\backslash alpha\_f\backslash colon\; G(f)\backslash circ\backslash alpha\_c\; \backslash to\; \backslash alpha\_\backslash circ\; F(f)$ for every morphism $f\backslash colon\; c\backslash to\; c\text{'}$ in ''C'' satisfying some equations (see 〔nLab page (http://ncatlab.org/nlab/show/lax+natural+transformation)〕 or 〔Gray, Adjointness For 2-Categories〕) 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「Lax natural transformation」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.