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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 Haefliger structure ： ウィキペディア英語版 Haefliger structure In mathematics, a Haefliger structure on a topological space is a generalization of a foliation of a manifold, introduced by . Any foliation on a manifold induces a Haefliger structure, which uniquely determines the foliation. ==Definition== A Haefliger structure on a space ''X'' is determined by a Haefliger cocycle. A codimension-''q'' Haefliger cocycle consists of a covering of ''X'' by open sets ''U''α, together with continuous maps Ψαβ from ''U''α ∩ ''U''β to the sheaf of germs of local diffeomorphisms of R''q'', satisfying the 1-cocycle condition :$\backslash displaystyle\backslash Psi\_(u)\; =\; \backslash Psi\_(u)\backslash Psi\_(u)$ for $u\backslash in\; U\_\backslash alpha\backslash cap\; U\_\backslash beta\backslash cap\; U\_\backslash gamma.$ More generally, ''C''''r'', PL, analytic, and continuous Haefliger structures are defined by replacing sheaves of germs of smooth diffeomorphisms by the appropriate sheaves. 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「Haefliger structure」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.