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adjoint functor (Definition)

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"adjoint functor" is owned by mps. [ full author list (7) | owner history (5) ]
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See Also: forgetful functor, universal mapping property, similarity and analogous systems: dynamic adjointness and topological equivalence, Galois connection, section functor, natural equivalence, foundations of mathematics: overview

Other names:  left adjoint, right adjoint
Also defines:  adjoint, adjoint pair, adjunction
Keywords:  adjoint functor pairs, adjointness, adjunction, adjoint dynamical systems, natural equivalence, natural isomorphism, adjointness theorems, limit and colimit preserving functors

Attachments:
unit of adjunction (Definition) by CWoo
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Cross-references: categorical dynamics, general systems, Foundation of Mathematics, preserves, colimit, limit, link, theorems, generated by, free group, groups, discrete topology, set functions, continuous maps, topological spaces, forgetful functor, fix, commutative ring, adjoint matrix, inverse, ordered pair, equation, commutative diagram, diagram, morphism, bijection, function, object, variable, bifunctor, natural equivalence, covariant functors, categories
There are 36 references to this entry.

This is version 34 of adjoint functor, born on 2002-02-25, modified 2008-12-19.
Object id is 2691, canonical name is AdjointFunctor.
Accessed 16271 times total.

Classification:
AMS MSC18A40 (Category theory; homological algebra :: General theory of categories and functors :: Adjoint functors )

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