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
(opposite model categories)
If a category carries a model category structure, then the opposite category carries the opposite model structure:
its weak equivalences are those morphisms whose dual was a weak equivalence in ,
its fibrations are those morphisms that were cofibrations in
its cofibrations are those that were fibrations in .
(opposite Quillen adjunction)
Given a Quillen adjunction
its opposite adjunction is a Quillen adjunction
Textbook accounts:
Last revised on July 20, 2021 at 11:44:17. See the history of this page for a list of all contributions to it.