Algebraic proofs of some fundamental theorems in algebraic $K$-theory

Tom Harris

Algebraic proofs of some fundamental theorems in algebraic $K$-theory

K-Theory and Homology 2013-11-21 v1

Authors: Tom Harris

Abstract

We present news 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.

Keywords

algebraic k-theory exact categories additivity theorem resolution theorem cofinality theorem grayson's presentation binary complexes algebraic proofs

Cite

@article{arxiv.1311.5162,
  title  = {Algebraic proofs of some fundamental theorems in algebraic $K$-theory},
  author = {Tom Harris},
  journal= {arXiv preprint arXiv:1311.5162},
  year   = {2013}
}

Comments

13 pages. Comments are welcome

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