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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 Landweber exact functor theorem ： ウィキペディア英語版 Landweber exact functor theorem In mathematics, the Landweber exact functor theorem, named after Peter Landweber, is a theorem in algebraic topology. It is known that a complex orientation of a homology theory leads to a formal group law. The Landweber exact functor theorem (or LEFT for short) can be seen as a method to reverse this process: it constructs a homology theory out of a formal group law. ==Statement== The coefficient ring of complex cobordism is $MU\_$ *( *) = MU_ * \cong \mathbb(), where the degree of $x\_i$ is 2i. This is isomorphic to the graded Lazard ring $\backslash mathcalR\_$ *. Define for a topological space ''X'' :$E\_$ *(X) = MU_ *(X)\otimes_R_ * Here $\backslash mathcalR\_$ * is flat over $\backslash mathcalMU\_$ *-module and the sequence $(p,v\_1,v\_2,\backslash dots,\; v\_n)$ is regular for ''M'', for every ''p'' and ''n''. Then ::$E\_$ *(X) = MU_ *(X)\otimes_M_ * :is a homology theory on CW-complexes. In particular, every formal group law F over a ring R yields a module over $\backslash mathcal\{\}MU\_$ * since we get via F a ring morphism $MU\_$ *\to R. 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「Landweber exact functor theorem」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.