pullback (category theory)

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs fiber product
gptkbp:category any category with limits
gptkbp:definedIn universal property
gptkbp:diagramShape span
gptkbp:dualPolyhedron pushout (category theory)
gptkbp:example product line
fiber product of schemes
pullback of sets
pullback of topological spaces
gptkbp:field gptkb:category_theory
gptkbp:generalizes fibered product
inverse image
gptkbp:hasUniversalProperty for any object mapping to both objects in the diagram, there is a unique morphism to the pullback
gptkbp:heldBy limit
https://www.w3.org/2000/01/rdf-schema#label pullback (category theory)
gptkbp:involves commutative square
gptkbp:relatedTo pushout (category theory)
gptkbp:usedIn gptkb:algebraic_geometry
gptkb:topology
homological algebra
gptkbp:bfsParent gptkb:Limit_(category_theory)
gptkbp:bfsLayer 7