Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:appliesTo |
categories
|
| gptkbp:axiomatizes |
homotopy theory in categories
|
| gptkbp:characterizedBy |
three classes of morphisms
|
| gptkbp:defines |
model category
|
| gptkbp:describedBy |
gptkb:Homotopical_Algebra
|
| gptkbp:enables |
homotopy limits and colimits
definition of derived functors |
| gptkbp:field |
gptkb:topology
homotopy theory |
| gptkbp:generalizes |
topological spaces homotopy theory
|
| gptkbp:hasClassOfMorphisms |
fibrations
cofibrations weak equivalences |
| https://www.w3.org/2000/01/rdf-schema#label |
Quillen model structure
|
| gptkbp:introduced |
gptkb:Daniel_Quillen
|
| gptkbp:introducedIn |
1967
|
| gptkbp:relatedTo |
model categories
simplicial sets chain complexes |
| gptkbp:usedFor |
abstract homotopy theory
|
| gptkbp:bfsParent |
gptkb:homotopy_type_theory
|
| gptkbp:bfsLayer |
5
|