On the Homotopy Fiber of K(A^oplus) to K(A) for Exact Categories, by Dongyuan Yao

In this paper we identify the homotopy fiber of the map from the K-theory of the splitting exact subcategory (i.e., with the same underlying category but only spitting exact sequences are considered as exact sequences) of any exact category to the k-theory of the exact category. The homotopy fiber is the K-theory of the category with cofibrations and weak equivalences of certain chain complexes in the category.


Dongyuan Yao <yao@math.wustl.edu>