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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 Glossary of category theory ： ウィキペディア英語版 Glossary of category theory This is a glossary of properties and concepts in category theory in mathematics.〔Notes on foundations: In many expositions (e.g., Vistoli), the set-theoretic issues are ignored; this means, for instance, that one does not distinguish between small and large categories and that one can arbitrarily form a localization of a category. If one believes in the existence of strongly inaccessible cardinals, then there can be a rigorous theory where statements and constructions have references to Grothendieck universes; this approach is taken, for example, in Lurie's ''Higher Topos Theory''.〕 The notations used throughout the article are: *() = , which is viewed as a category (by writing $i\; \backslash to\; j\; \backslash Leftrightarrow\; i\; \backslash le\; j$.) *Cat, the category of (small) categories, where the objects are categories (which are small with respect to some universe) and the morphisms natural transformations. *Fct(''C'', ''D''), the functor category: the category of functors from a category ''C'' to a category ''D''. *Set, the category of (small) sets. *''s''Set, the category of simplicial sets. ==A== 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「Glossary of category theory」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.