Zariski topology

GPTKB entity
AI-created image of Zariski topology
AI-created image

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:topology
gptkbp:definedIn gptkb:Euclidean_space
spectrum of a ring
gptkbp:feature basis of open sets are distinguished open sets
closed sets are algebraic sets
coarse topology
irreducible spaces
not Hausdorff
open sets are dense
quasi-compact
https://www.w3.org/2000/01/rdf-schema#label Zariski topology
gptkbp:introducedIn 20th century
gptkbp:namedAfter gptkb:Oscar_Zariski
gptkbp:relatedTo gptkb:étale_topology
gptkb:classical_topology
Grothendieck topology
gptkbp:usedFor defining structure sheaf
studying algebraic varieties
gptkbp:usedIn gptkb:algebraic_geometry
gptkbp:bfsParent gptkb:Hilbert's_Nullstellensatz
gptkbp:bfsLayer 4