motivic stable homotopy category
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical category
|
| gptkbp:baseField |
scheme
arbitrary field |
| gptkbp:contains |
motivic spectra
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:topology |
| gptkbp:foundedYear |
late 1990s
|
| gptkbp:generalizes |
stable homotopy category
|
| https://www.w3.org/2000/01/rdf-schema#label |
motivic stable homotopy category
|
| gptkbp:introduced |
gptkb:Vladimir_Voevodsky
gptkb:Fabien_Morel |
| gptkbp:morphismType |
stable homotopy classes of maps
|
| gptkbp:relatedConcept |
gptkb:motivic_Eilenberg–MacLane_spectrum
gptkb:motivic_Steenrod_algebra gptkb:A1-homotopy_theory motivic cohomology |
| gptkbp:relatedTo |
gptkb:motivic_homotopy_theory
stable homotopy category |
| gptkbp:type |
motivic spectrum
|
| gptkbp:usedFor |
studying algebraic varieties
generalizing classical homotopy theory |
| gptkbp:bfsParent |
gptkb:Motivic_cohomology
gptkb:motivic_homotopy_theory gptkb:Grothendieck's_theory_of_motives |
| gptkbp:bfsLayer |
6
|