Quillen adjunction

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines An adjunction between two model categories that preserves the model structure in a specific way.
gptkbp:field gptkb:category_theory
homotopical algebra
gptkbp:generalizes adjoint functor
gptkbp:hasComponent left Quillen functor
right Quillen functor
https://www.w3.org/2000/01/rdf-schema#label Quillen adjunction
gptkbp:inducedBy adjunction on homotopy categories
gptkbp:namedAfter gptkb:Daniel_Quillen
gptkbp:preserves cofibrations (by left adjoint)
fibrations (by right adjoint)
gptkbp:relatedTo model category
adjoint functors
gptkbp:usedIn gptkb:topology
homotopy theory
gptkbp:bfsParent gptkb:William_Quillen
gptkbp:bfsLayer 6