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:étale_cohomology
model theory
motivic cohomology
|
gptkbp:hasProperty
|
cartesian closed
has a subobject classifier
has all finite limits
has all small colimits
|
https://www.w3.org/2000/01/rdf-schema#label
|
Grothendieck topos
|
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
gptkb:Grothendieck's_theory_of_category_theory
gptkb:Grothendieck's_theory_of_toposes
|
gptkbp:bfsLayer
|
7
|