ALGEBRAIC PROOFS OF SOME FUNDAMENTAL THEOREMS IN ALGEBRAIC K-THEORY

作者：Harris Tom^*

来源：Homology, Homotopy and Applications, 2015, 17(1): 267-280.

DOI：10.4310/HHA.2015.v17.n1.a13

• higher algebraic K-group
• acyclic binary complex
• additivity theorem
• resolution theorem
• cofinality theorem

We present new proofs of the additivity, resolution, and cofinality theorems for the algebraic K-theory of exact categories. These proofs are entirely algebraic, based on Grayson's presentation of higher algebraic K-groups via binary complexes.

• 出版日期2015