English

An Algebraic Proof of Quillen's Resolution Theorem for K_1

K-Theory and Homology 2015-03-13 v2 Category Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0906.4150,
  title  = {An Algebraic Proof of Quillen's Resolution Theorem for K_1},
  author = {Ben Whale},
  journal= {arXiv preprint arXiv:0906.4150},
  year   = {2015}
}

Comments

30 pages, 0 figures, uses xypic.sty