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 model category structure is a right Bousfield localization of a model structure on the same underlying category if and have the same fibrations and the weak equivalences of contain those of
The notion of right Bousfield delocalization reverses this relation: is a right Bousfield delocalization of if is a right Bousfield localization of .
Of course, the nontrivial task here is to establish interesting existence criteria for right Bousfield delocalizations.
If and are two cofibrantly generated model category structures on the same category with coinciding classes of fibrations, then there is a third cofibrantly generated model structure with the same fibrations and whose weak equivalences are the intersection of weak equivalences in and . This model structure is a right Bousfield delocalization of both and .
Last revised on April 23, 2015 at 18:54:46. See the history of this page for a list of all contributions to it.