Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
functors between small categories
|
| gptkbp:describes |
homotopy fibers of functors
|
| gptkbp:field |
gptkb:topology
gptkb:category_theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Quillen's theorem B
|
| gptkbp:namedAfter |
gptkb:Daniel_Quillen
|
| gptkbp:publishedIn |
gptkb:Higher_Algebraic_K-Theory_I
|
| gptkbp:relatedTo |
gptkb:Quillen's_theorem_A
|
| gptkbp:state |
If for every morphism f: x → y in D, the induced functor F^{-1}(x) → F^{-1}(y) is a homotopy equivalence, then the map induced by F on classifying spaces is a homotopy fiber.
|
| gptkbp:usedIn |
gptkb:algebraic_K-theory
homotopy theory |
| gptkbp:year |
1973
|
| gptkbp:bfsParent |
gptkb:Daniel_Quillen
|
| gptkbp:bfsLayer |
7
|