model category, model -category
Definitions
Morphisms
Universal constructions
Refinements
Producing new model structures
Presentation of -categories
Model structures
for -groupoids
on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
for equivariant -groupoids
for rational -groupoids
for rational equivariant -groupoids
for -groupoids
for -groups
for -algebras
general -algebras
specific -algebras
for stable/spectrum objects
for -categories
for stable -categories
for -operads
for -categories
for -sheaves / -stacks
A Thomason model category is a (Quillen) model category such that functorial factorizations exist.
A functor category with values in a Thomason model category is automatically again a Thomason model category and hence yields a notion of global model structure on functors.
Mark Hovey later popularized this addition, including the data of functorial factorizations (and not just their existence) into his definition of a model category (he attributed this addition to Dwyer–Hirschhorn–Kan–Smith).
Charles Weibel, Homotopy Ends and Thomason Model Categories (arXiv)
See Weibel’s Thomason obituary for some details.
Last revised on May 7, 2020 at 08:17:18. See the history of this page for a list of all contributions to it.