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The additivity theorem in algebraic $K$-theory
Documenta mathematica, Tome 16 (2011), pp. 457-464
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The additivity theorem in algebraic K-theory, due to Quillen and Waldhausen, is a basic tool. In this paper we present a new proof, which proceeds by constructing an explicit homotopy combinatorially.
DOI : 10.4171/dm/338
Classification : 19D99
Mots-clés : algebraic K-theory, additivity 
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     author = {Daniel R. Grayson},
     title = {The additivity theorem in algebraic $K$-theory},
     journal = {Documenta mathematica},
     pages = {457--464},
     year = {2011},
     volume = {16},
     doi = {10.4171/dm/338},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/338/}
}
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Daniel R. Grayson. The additivity theorem in algebraic $K$-theory. Documenta mathematica, Tome 16 (2011), pp. 457-464. doi: 10.4171/dm/338

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