An Algebraic Proof of Quillen's Resolution Theorem for K_1

Details An Algebraic Proof of Quillen's Resolution Theorem for K_1 An Algebraic Proof of Quillen's Resolution Theorem for K_1

2009-06-23

arxiv.org/abs/0906.4150v2

Mathematics

K-Theory and Homology

30 pages, 0 figures, uses xypic.sty

Scientific paper

10.1017/is009009019jkt089

In his 1973 paper Quillen proved a resolution theorem for the K-Theory of an
exact category; his proof was homotopic in nature. By using the main result of
a paper by Nenashev, we are able to give an algebraic proof of Quillen's
Resolution Theorem for K_1 of an exact category.

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