Definitions from Wiktionary (adjunction)
▸ noun: The act of joining; the thing joined or added.
▸ noun: (law) The joining of personal property owned by one to that owned by another.
▸ noun: (mathematics, chiefly algebra and number theory) The process of adjoining elements to an algebraic structure (usually a ring or field); the result of such a process.
▸ noun: (category theory, loosely) A relationship between a pair of categories that makes the pair, in a weak sense, equivalent.
▸ noun: (category theory, strictly) A natural isomorphism between a pair of functors satisfying certain conditions, whose existence implies a close relationship between the functors and between their (co)domains; the natural isomorphism, functors, and their (co)domains thought of as a single object.
▸ noun: (formally, given two categories ๐ and ๐ and (covariant) functors F:๐โ๐ and G:๐โ๐) A natural isomorphism ฮฆ: operatorname Hom_( mathcal )C(Gยท,ยท)โ operatorname Hom_( mathcal )D(ยท,Fยท) (where the hom-functors are understood as bifunctors from ๐^( operatorname )opร๐ to mathbf Set). See Adjoint functors on Wikipedia.Wikipedia.
▸ Also see adjunction
▸ Words similar to adjunctions
▸ Usage examples for adjunctions
▸ Idioms related to adjunctions
▸ Wikipedia articles (New!)
▸ Popular adjectives describing adjunctions
▸ Words that often appear near adjunctions
▸ Rhymes of adjunctions
▸ Invented words related to adjunctions
▸ noun: The act of joining; the thing joined or added.
▸ noun: (law) The joining of personal property owned by one to that owned by another.
▸ noun: (mathematics, chiefly algebra and number theory) The process of adjoining elements to an algebraic structure (usually a ring or field); the result of such a process.
▸ noun: (category theory, loosely) A relationship between a pair of categories that makes the pair, in a weak sense, equivalent.
▸ noun: (category theory, strictly) A natural isomorphism between a pair of functors satisfying certain conditions, whose existence implies a close relationship between the functors and between their (co)domains; the natural isomorphism, functors, and their (co)domains thought of as a single object.
▸ noun: (formally, given two categories ๐ and ๐ and (covariant) functors F:๐โ๐ and G:๐โ๐) A natural isomorphism ฮฆ: operatorname Hom_( mathcal )C(Gยท,ยท)โ operatorname Hom_( mathcal )D(ยท,Fยท) (where the hom-functors are understood as bifunctors from ๐^( operatorname )opร๐ to mathbf Set). See Adjoint functors on Wikipedia.Wikipedia.
▸ Also see adjunction
Opposite:
▸ Words similar to adjunctions
▸ Usage examples for adjunctions
▸ Idioms related to adjunctions
▸ Wikipedia articles (New!)
▸ Popular adjectives describing adjunctions
▸ Words that often appear near adjunctions
▸ Rhymes of adjunctions
▸ Invented words related to adjunctions