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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 Quillen's theorems A and B ： ウィキペディア英語版 Quillen's theorems A and B In topology, a branch of mathematics, Quillen's Theorem A gives a sufficient condition for the classifying spaces of two categories to be homotopy equivalent. Quillen's Theorem B gives a sufficient condition for a square consisting of classifying spaces of categories to be homotopy Cartesian. The two theorems play central roles in Quillen's Q-construction in algebraic K-theory and are named after Daniel Quillen. The precise statements of the theorems are as follows. In general, the homotopy fiber of $Bf:\; BC\; \backslash to\; BD$ is not naturally the classifying space of a category: there is no natural category $Ff$ such that $FBf\; =\; BFf$. Theorem B is a substitute for this problem. == References == * * *C. Weibel "(The K-book: An introduction to algebraic K-theory )" 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「Quillen's theorems A and B」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.