Algebraic proofs of some fundamental theorems in algebraic K-theory
classification
🧮 math.KT
keywords
algebraicproofstheoremstheoryadditivitybinarycategoriescofinality
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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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