Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
topological spaces
simplicial sets chain complexes |
| gptkbp:describes |
abstract homotopy theory
|
| gptkbp:enables |
abstract localization
construction of derived functors homotopy limits and colimits |
| gptkbp:field |
gptkb:mathematics
gptkb:category_theory homotopy theory |
| gptkbp:generalizes |
classical homotopy theory
|
| gptkbp:hasConcept |
gptkb:fiber
cofibration model category weak equivalence |
| https://www.w3.org/2000/01/rdf-schema#label |
model category theory
|
| gptkbp:influenced |
gptkb:algebraic_K-theory
gptkb:motivic_homotopy_theory stable homotopy theory |
| gptkbp:introduced |
gptkb:Daniel_Quillen
|
| gptkbp:introducedIn |
1967
|
| gptkbp:notableWork |
gptkb:Homotopical_Algebra_(Quillen,_1967)
|
| gptkbp:relatedTo |
derived category
higher category theory homotopical algebra |
| gptkbp:bfsParent |
gptkb:Eilenberg–Mac_Lane_space
|
| gptkbp:bfsLayer |
6
|