English

Colax Reedy diagrams

Category Theory 2013-07-30 v1

Abstract

We use a theory of colax Reedy diagrams to show that the category of Segal M-precategories with fixed set of objects has a model structure for a symmetric monoidal model category M = (M,\otimes,I). What is relevant here is when M is monoidal for a non-cartesian product. The model structure is of Reedy style and generalizes the Reedy model structure for classical Segal M-precategories when M is monoidal for the cartesian product. The techniques we use also generalize the Reedy model structure for classical Reedy diagrams.

Keywords

Cite

@article{arxiv.1307.7215,
  title  = {Colax Reedy diagrams},
  author = {Hugo V. Bacard},
  journal= {arXiv preprint arXiv:1307.7215},
  year   = {2013}
}

Comments

22 pages, first draft. Comments always welcome

R2 v1 2026-06-22T00:58:47.465Z