The additivity theorem in algebraic $K$-theory

Daniel R. Grayson

doi:10.4171/dm/338

JournalsdmVol. 16pp. 457–464

The additivity theorem in algebraic $K$ -theory

Daniel R. Grayson

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Abstract

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.

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Daniel R. Grayson, The additivity theorem in algebraic $K$ -theory. Doc. Math. 16 (2011), pp. 457–464

DOI 10.4171/DM/338