Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical category
|
| gptkbp:alsoKnownAs |
motivic homotopy category
|
| gptkbp:baseScheme |
arbitrary base scheme
|
| gptkbp:citation |
Voevodsky, Morel, 'A1-homotopy theory of schemes'
|
| gptkbp:field |
gptkb:algebraic_geometry
homotopy theory |
| gptkbp:generalizes |
classical homotopy category
|
| https://www.w3.org/2000/01/rdf-schema#label |
A1-homotopy category
|
| gptkbp:introduced |
gptkb:Vladimir_Voevodsky
gptkb:Fabien_Morel |
| gptkbp:introducedIn |
1990s
|
| gptkbp:morphisms |
A1-homotopy classes of maps
|
| gptkbp:objects |
smooth schemes over a base scheme
|
| gptkbp:relatedTo |
gptkb:motivic_stable_homotopy_category
stable homotopy category |
| gptkbp:usedFor |
gptkb:algebraic_K-theory
motivic cohomology |
| gptkbp:bfsParent |
gptkb:motivic_homotopy_theory
|
| gptkbp:bfsLayer |
6
|