Algebraic proofs of some fundamental theorems in algebraic $K$-theory

Tom Harris
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引用次数: 7

Abstract

We present news 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.
代数K理论中若干基本定理的代数证明
给出了精确范畴的代数K -理论的可加性定理、分解定理和共通性定理的新证明。这些证明完全是代数的,基于Grayson通过二元复合体的高代数K群的表示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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