English

A realization functor for abelian model categories

Category Theory 2018-03-12 v1 Commutative Algebra Algebraic Topology Representation Theory

Abstract

We study liftings of abelian model structures to categories of chain complexes and construct a realization functor from the derived category of a Grothendieck abelian category equipped with a cofibrantly generated, hereditary abelian model structure to the homotopy category of that model structure.

Keywords

Cite

@article{arxiv.1803.03311,
  title  = {A realization functor for abelian model categories},
  author = {Hanno Becker},
  journal= {arXiv preprint arXiv:1803.03311},
  year   = {2018}
}

Comments

17 pages, comments welcome

R2 v1 2026-06-23T00:47:09.170Z