翻訳と辞書 Words near each other ・ K-water ・ K-Way Merge Algorithms ・ K-X-P ・ K-Y Jelly ・ K-Z ・ K. (novel) ・ K-frame ・ K-function ・ K-Gee ・ K-graph C*-algebra ・ K-group ・ K-Hill (artist) ・ K-Hito ・ K-Hits ・ K-hole ・ K-homology ・ K-ID ・ K-independent hashing ・ K-index ・ K-index (meteorology) ・ K-Jee ・ K-K-K-Katy ・ K-Klass ・ K-LEE Radio ・ K-Liber ・ K-Line ・ K-line ・ K-line (artificial intelligence) ・ K-line (spectrometry) ・ K-Lite Codec Pack Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク K-homology ： ウィキペディア英語版 K-homology In mathematics, K-homology is a homology theory on the category of locally compact Hausdorff spaces. It classifies the elliptic pseudo-differential operators acting on the vector bundles over a space. In terms of $C^$ *-algebras, it classifies the Fredholm modules over an algebra. An operator homotopy between two Fredholm modules $(\backslash mathcal,F\_0,\backslash Gamma)$ and $(\backslash mathcal,F\_1,\backslash Gamma)$ is a norm continuous path of Fredholm modules, $t\; \backslash mapsto\; (\backslash mathcal,F\_t,\backslash Gamma)$, $t\; \backslash in\; ().$ Two Fredholm modules are then equivalent if they are related by unitary transformations or operator homotopies. The $K^0(A)$ group is the abelian group of equivalence classes of even Fredholm modules over A. The $K^1(A)$ group is the abelian group of equivalence classes of odd Fredholm modules over A. Addition is given by direct summation of Fredholm modules, and the inverse of $(\backslash mathcal,\; F,\; \backslash Gamma)$ is $(\backslash mathcal,\; -F,\; -\backslash Gamma).$ == References == * N. Higson and J. Roe, ''Analytic K-homology''. Oxford University Press, 2000. 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「K-homology」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.