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Algebraic proofs of some fundamental theorems in algebraic K-theory

2013/11/20 by Harris, Tom · 1 citation
#FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1311.5162

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.

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