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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 Secondary cohomology operation ： ウィキペディア英語版 Secondary cohomology operation In mathematics, a secondary cohomology operation is a functorial correspondence between cohomology groups. More precisely, it is a natural transformation from the kernel of some primary cohomology operation to the cokernel of another primary operation. They were introduced by in his solution to the Hopf invariant problem. Similarly one can define tertiary cohomology operations from the kernel to the cokernel of secondary operations, and continue like this to define higher cohomology operations, as in . However secondary and higher cohomology operations are rather cumbersome to use, and their study was mostly abandoned when Michael Atiyah pointed out in the 1960s that many of their applications could be proved more easily using generalized cohomology theories. Examples of secondary and higher cohomology operations include the Massey product, the Toda bracket, and differentials of spectral sequences. ==See also== *Peterson–Stein formula 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「Secondary cohomology operation」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.