adjunction
English
Etymology
2=yewgPlease see Module:checkparams for help with this warning.
From (deprecated template usage) [etyl] Latin adjunctio, from adjungere: compare (deprecated template usage) [etyl] French adjonction, and see adjunct.
Noun
adjunction (countable and uncountable, plural adjunctions)
- The act of joining; the thing joined or added.
- (law) The joining of personal property owned by one to that owned by another.
- (category theory) Given a pair of categories and : an anti-parallel pair of functors and and a natural transformation called “unit” such that for any object , for any object , and for any morphism , there is a unique morphism such that .[1] (Note: there is another natural transformation called “counit” as well but its existence may be derived by theorem.) The pair of functors express a similarity between the pair of categories which is weaker than that of an equivalence of categories.
- Hyponyms: equivalence of categories, isomorphism of categories, Galois connection
- Meronyms: adjoint, left adjoint, right adjoint
Translations
the act of joining
|
the thing joined or added
a form of similarity between a pair of categories mapped to each other by dual morphisms
- The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.
Translations to be checked
|