翻訳と辞書 Words near each other ・ Inverse Problems ・ Inverse psoriasis ・ Inverse quadratic interpolation ・ Inverse Raman effect ・ Inverse ratio ventilation ・ Inverse relation ・ Inverse resolution ・ Inverse scattering problem ・ Inverse scattering transform ・ Inverse search ・ Inverse second ・ Inverse semigroup ・ Inverse square root potential ・ Inverse Symbolic Calculator ・ Inverse synthetic aperture radar ・ Inverse system ・ Inverse transform sampling ・ Inverse trigonometric functions ・ Inverse Warburg Effect ・ Inverse-chi-squared distribution ・ Inverse-gamma distribution ・ Inverse-square law ・ Inverse-variance weighting ・ Inverse-Wishart distribution ・ Invershin ・ Invershin railway station ・ Inversija ・ Inversion ・ Inversion (artwork) ・ Inversion (discrete mathematics) 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 Inverse system ： ウィキペディア英語版 Inverse system In mathematics, an inverse system in a category ''C'' is a functor from a small cofiltered category ''I'' to ''C''. An inverse system is sometimes called a ''pro-object'' in ''C''. The dual concept is a direct system. ==The category of inverse systems== Pro-objects in ''C'' form a category ''pro-C''. The general definition was given by Alexander Grothendieck in 1959, in ''TDTE''. Two inverse systems :''F'':I$\backslash to$ C'' and ''G'':J$\backslash to$ C'' determine a functor :''I''op x ''J'' $\backslash to$ ''Sets'', namely the functor :$\backslash mathrm\_C(F(i),G(j))$. The set of homomorphisms between ''F'' and ''G'' in ''pro-C'' is defined to be the colimit of this functor in the first variable, followed by the limit in the second variable. If ''C'' has all inverse limits, then the limit defines a functor ''pro-C''$\backslash to$''C''. In practice, e.g. if ''C'' is a category of algebraic or topological objects, this functor is not an equivalence of categories. 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「Inverse system」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.