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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 Adams filtration ： ウィキペディア英語版 Adams filtration In mathematics, especially in the area of algebraic topology known as stable homotopy theory, the Adams filtration and the Adams-Novikov filtration allow a stable homotopy group to be understood as built from layers, the ''n''th layer containing just those maps which require at most ''n'' auxiliary spaces in order to be a composition of homologically trivial maps. These filtrations are of particular interest because the Adams (-Novikov) spectral sequence converges to them. ==Definition== The group of stable homotopy classes () between two spectra ''X'' and ''Y'' can be given a filtration by saying that a map ''f'': ''X'' → ''Y'' has filtration ''n'' if it can be written as a composite of maps ''X'' = ''X''0 → ''X''1 → ... → ''X''n = ''Y'' such that each individual map ''X''''i'' → ''X''''i''+1 induces the zero map in some fixed homology theory ''E''. If ''E'' is ordinary mod-''p'' homology, this filtration is called the Adams filtration, otherwise the Adams-Novikov filtration. 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「Adams filtration」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.