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Algebraic proofs of some fundamental theorems in algebraic $K$-theory
2015
Homology, Homotopy and Applications
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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.
doi:10.4310/hha.2015.v17.n1.a13
fatcat:ypro6tscxrcm7ldl2wsvlrspru