special adjoint functor theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo functors between categories
gptkbp:describes conditions for existence of adjoint functors
gptkbp:field gptkb:category_theory
https://www.w3.org/2000/01/rdf-schema#label special adjoint functor theorem
gptkbp:introduced Daniel M. Kan
gptkbp:publishedIn gptkb:Mathematical_Reviews
gptkbp:relatedTo gptkb:general_adjoint_functor_theorem
gptkbp:requires cocomplete category
set of generators
well-powered category
gptkbp:state a functor that preserves colimits and satisfies certain conditions has a left adjoint
gptkbp:usedIn gptkb:algebra
gptkb:mathematics
gptkb:topology
gptkbp:year 1960s
gptkbp:bfsParent gptkb:adjoint_functor_theorem
gptkbp:bfsLayer 7