融合t-结构的扩张闭  

Extension closure of glueing t-structures

作　　者：高楠[1] 郝克勤[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2016年第3期364-368,共5页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金青年基金资助项目(11101259)

摘　　要：以Beilinson,Bernstein和Deligne(Beilinson A A,Bernstein J,Deligne P.Faisceaux pervers[J].Asterique,1982,100:5-171)的工作为基础,应用recollement和紧生成t-结构的定义和性质证明了三角范畴上紧生成的t-结构扩张闭的BBD-induction的形式.利用同余上极限和紧生成的余-t-结构的定义和性质证明了紧生成的余-t-结构的扩张闭也是一个余-t-结构.Following the work of Beilinson, Bernstein, and Deligne （Beilinson A A, Bernstein J, Deligne P. Faisceaux pervers [J]. Asterique, 1982, 100： 5-171）, by using the properties of recollement and compactly generated t-structures, we prove the BBD-induction of the extension closure of compactly generated t-structures on triangulated categories. We also show that the extension closure of compactly generated co-t-structures is a co-t-structure with respect to the properties of colimit and compactly generated co-t-structures.

关 键 词：T-结构 recollements 余喜结构 

分 类 号：O154.1[理学—数学]