A note on K-theory and triangulated categories

被引：0
|
作者：
Marco Schlichting
机构：
[1] Department of Mathematics,
[2] University of Illinois at Urban-Champain,undefined
[3] 273 Altgeld Hall,undefined
[4] 1409 West Green Street,undefined
[5] Urbana,undefined
[6] IL 61801,undefined
[7] USA (e-mail: mschlich@math.uiuc.edu),undefined
来源：
Inventiones mathematicae | 2002年 / 150卷
关键词：
Model Category; Closed Model; Triangulate Category; Homotopy Category; Exact Category;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide an example of two closed model categories having equivalent homotopy categories but different Waldhausen K-theories. We also show that there cannot exist a functor from small triangulated categories to spaces which recovers Quillen’s K-theory for exact categories and which satisfies localization.
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页码：111 / 116
页数：5
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