English

Grothendieck groups of complexes with null-homotopies

K-Theory and Homology 2012-12-11 v1

Abstract

We give a streamlined proof of a theorem of Foxby and Halvorsen. The theorem states that certain relative K-groups made from chain complexes with bounded (but arbitrarily long) length coincide with similar K-groups in which one sets an absolute bound on the length of the complexes.

Keywords

Cite

@article{arxiv.1212.2143,
  title  = {Grothendieck groups of complexes with null-homotopies},
  author = {Daniel Dugger},
  journal= {arXiv preprint arXiv:1212.2143},
  year   = {2012}
}