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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 preordered class ： ウィキペディア英語版 preordered class In mathematics, a preordered class is a class equipped with a preorder. ==Definition== When dealing with a class ''C'', it is possible to define a class relation on ''C'' as a subclass of the power class ''C $\backslash times$ C'' . Then, it is convenient to use the language of relations on a set. A preordered class is a class with a preorder on it. ''Partially ordered class'' and ''totally ordered class'' are defined in a similar way. These concepts generalize respectively those of preordered set, partially ordered set and totally ordered set. However, it is difficult to work with them as in the ''small'' case because many constructions common in a set theory are no longer possible in this framework. Equivalently, a preordered class is a thin category, that is, a category with at most one morphism from an object to another. 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「preordered class」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.