翻訳と辞書 Words near each other ・ T. C. Hsu ・ T. C. Humphrey ・ T. C. Jones ・ T. C. Kingsmill Moore ・ T. C. Locke ・ T. C. McCarthy ・ T. C. Murray ・ T. C. Ostrander ・ T-square (disambiguation) ・ T-square (fractal) ・ T-Square (software) ・ T-stage ・ T-statistic ・ T-Stoff ・ T-Street ・ T-structure ・ T-symmetry ・ T-Systems ・ T-tail ・ T-theory ・ T-top ・ T-top (boat) ・ T-Town ・ T-TRAK ・ T-tree ・ T-tubule ・ T-Type ・ T-type ・ T-type asteroid ・ T-type calcium channel 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 T-structure ： ウィキペディア英語版 T-structure In mathematics, more specifically in homological algebra, a t-structure is an additional piece of structure that can be put on a triangulated category or a stable infinity category that axiomatizes the properties of complexes whose positive or negative cohomology vanishes. The notion was introduced by Beilinson, Bernstein and Deligne.〔Beĭlinson, A. A.; Bernstein, J.; Deligne, P. ''Faisceaux pervers.'' Analysis and topology on singular spaces, I (Luminy, 1981), 5–171, Astérisque, 100, Soc. Math. France, Paris, 1982.〕 It allows to construct an abelian category, namely the heart of the t-structure, from a triangulated category. ==Definition== The derived category ''D'' of an abelian category ''A'' contains, for each ''n'', the full subcategories $D^$ and $D^$ consisting of complexes whose cohomology is "bounded below" or "bounded above" ''n'', respectively, i.e., $H^m(X)\; =\; 0$ for and $m\; >\; n$, respectively. The subcategories have the following properties: *$D^\backslash subset\; D^$, $D^\backslash subset\; D^;$ *$\backslash operatorname(D^,D^)=0;$ *Every object ''X'' can be embedded in a distinguished triangle $X^\; \backslash to\; X\; \backslash to\; X^\; \backslash to\; \backslash$ with $X^\; \backslash in\; D^$, $X^\; \backslash in\; D^.$ This prototypical basic example gives rise to the following definition: a ''t-structure'' on a triangulated category consists of full subcategories $D^$ and $D^$ satisfying the conditions above. In ''Faisceaux pervers'' a triangulated category equipped with a t-structure is called a ''t-category''. The above example is referred to as the ''standard t-structure'' or ''canonical t-structure''. The notion of a t-structure can also be defined on a stable model category or a stable infinity category by requiring that there is a t-structure in the above sense on the homotopy category (which is a triangulated category).〔Jacob Lurie. (''Higher Algebra''. )〕 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「T-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.