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universal mapping property (Definition)

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"universal mapping property" is owned by MichaelMcCliment. [ full author list (5) | owner history (2) ]
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See Also: adjoint functor, unit of adjunction, limiting cone

Other names:  universal, co-universal
Also defines:  universal morphism, universality, universal arrow, universal property
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Cross-references: Bourbaki, product, right, induces, contained, isomorphic, strategy, modules, homology, constant functor, diagonal functor, functor category, index category, colimits, limits, sides, square, commutative, composition, kernel, zero morphisms, inclusion map, tensor algebra, forgetful functor, associative, unital, field, vector spaces, solution, adjoint pair, co-unit, unit, similar, adjoint functors, identity functor, natural transformation, maps, terminal object, representable functor, comma category, initial object, equivalent, variety, isomorphism, diagram, functor, pushouts, pullbacks, direct limit, inverse, exterior algebra, tensor product, compactification, product topology, free algebras, direct sums, arrow, references, mappings, strict, term, free Lie algebras, free groups, structure, proof, generic, level, theorems, category theory, objects, properties, morphisms, abstract objects, definitions, categorical, topologies, groups, direct product, Cartesian products, categories, strong
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This is version 12 of universal mapping property, born on 2006-01-19, modified 2009-02-26.
Object id is 7566, canonical name is UniversalProperty.
Accessed 11329 times total.

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

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