Geodesic
Algebraic proofs of some fundamental theorems in algebraic $K$-theory
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 267-280.

Voir la notice de l'article provenant de la source International Press of Boston

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
Classification : 19D99
Keywords: higher algebraic $K$-group, acyclic binary complex, additivity theorem, resolution theorem, cofinality theorem 
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     author = {Tom Harris},
     title = {Algebraic proofs of some fundamental theorems in algebraic $K$-theory},
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     pages = {267--280},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a13/}
}
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Tom Harris. Algebraic proofs of some fundamental theorems in algebraic $K$-theory. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 267-280. doi : 10.4310/HHA.2015.v17.n1.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a13/

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