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
(also nonabelian homological algebra)
Context
Basic definitions
Stable homotopy theory notions
Constructions
Lemmas
Homology theories
Theorems
The analogue of the Strøm model structure but for chain complexes instead of topological spaces. Its weak equivalences are chain homotopy equivalences rather than quasi-isomorphisms, and its homotopy category is the homotopy category of chain complexes.
A textbook account is in chapter 18 of
Last revised on April 5, 2025 at 09:23:05. See the history of this page for a list of all contributions to it.