Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:topology |
| gptkbp:characterizedBy |
being a category of sheaves on a site
having all limits and colimits |
| gptkbp:definedIn |
gptkb:website
|
| gptkbp:example |
category of presheaves on a small category
category of sheaves on a topological space |
| gptkbp:field |
gptkb:mathematics
gptkb:category_theory |
| gptkbp:generalizes |
category of sheaves
|
| gptkbp:hasApplication |
gptkb:model_theory
gptkb:étale_cohomology motivic cohomology |
| gptkbp:hasProperty |
cartesian closed
has a subobject classifier has all finite limits has all small colimits |
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
|
| gptkbp:relatedTo |
elementary topos
|
| gptkbp:studiedIn |
gptkb:SGA4
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:logic homological algebra |
| gptkbp:bfsParent |
gptkb:elementary_topos_theory
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck topos
|