English

Stabilization of derivators revisited

Category Theory 2019-08-09 v4 Algebraic Topology K-Theory and Homology

Abstract

We revisit and improve Alex Heller's results on the stabilization of derivators in Stable Homotopy Theories and Stabilization (J Pure Appl Algebra, 115(2):113-130, 1997), recovering his results entirely. Along the way we give some details of the localization theory of derivators and prove some new results in that vein.

Cite

@article{arxiv.1802.04343,
  title  = {Stabilization of derivators revisited},
  author = {Ian Coley},
  journal= {arXiv preprint arXiv:1802.04343},
  year   = {2019}
}

Comments

59 pages, typos fixed and some remarks added based on personal correspondence. Final (post-publication) version

R2 v1 2026-06-23T00:20:04.495Z