English

On modified Reedy and modified projective model structures

Algebraic Topology 2010-04-23 v1

Abstract

Variations on the notions of Reedy model structures and projective model structures on categories of diagrams in a model category are introduced. These allow one to choose only a subset of the entries when defining weak equivalences, or to use different model categories at different entries of the diagrams. As a result, a bisimplicial model category that can be used to recover the algebraic K-theory for any Waldhausen subcategory of a model category is produced.

Keywords

Cite

@article{arxiv.1004.3922,
  title  = {On modified Reedy and modified projective model structures},
  author = {Mark W. Johnson},
  journal= {arXiv preprint arXiv:1004.3922},
  year   = {2010}
}

Comments

33 pages, including an appendix detailing the Reedy inductive framework

R2 v1 2026-06-21T15:13:33.596Z