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
Every bicomplete category (i.e. having all small limits and colimits) becomes a model category by setting:
the weak equivalences are the isomorphisms;
every morphism is a fibration;
every morphism is a cofibration.
This model structure regards as an (∞,1)-category with only trivial k-morphisms for .
Last revised on May 1, 2023 at 10:01:53. See the history of this page for a list of all contributions to it.