adjunction


adjunction
a) A form of similarity between a pair of categories and which is weaker than equivalence, which in turn is weaker than isomorphism. Given functors and , F is "left adjoint" of G, and G "right adjoint" of F, denoted as , if
b) there are a pair of natural transformations <math> \\eta: \\mbox_\\mathcal \\rightarrow GF </math> and <math> \\epsilon: FG \\rightarrow \\mbox_\\mathcal </math> satisfying the following "triangle identities":

Wikipedia foundation.

Look at other dictionaries:

  • adjunction — index addition, attachment (act of affixing) Burton s Legal Thesaurus. William C. Burton. 2006 adjunction …   Law dictionary

  • Adjunction — Ad*junc tion, n. [L. adjunctio, fr. adjungere: cf. F. adjonction, and see {Adjunct}.] The act of joining; the thing joined or added. [1913 Webster] …   The Collaborative International Dictionary of English

  • adjunction — /euh jungk sheuhn/, n. addition of an adjunct. [1595 1605; < L adjunction (s. of adjunctio). See ADJUNCT, ION] * * * …   Universalium

  • adjunction — noun Date: 1618 the act or process of adjoining …   New Collegiate Dictionary

  • adjunction — n. addition of something; addition of a modifying word or phrase (Grammar) …   English contemporary dictionary

  • adjunction — noun 1》 Mathematics the joining of two sets to form a larger set. 2》 Logic the asserting in a single formula of two previously asserted formulae …   English new terms dictionary

  • adjunction — ad·junc·tion …   English syllables

  • adjunction — /ajarj(k)shan/ Adding, affixing or attaching to another. Act of adjoining. In civil law, the attachment or union permanently of a thing belonging to one person to that belonging to another. The common law implicitly adopts the civil law doctrines …   Black's law dictionary

  • adjunction — /ajarj(k)shan/ Adding, affixing or attaching to another. Act of adjoining. In civil law, the attachment or union permanently of a thing belonging to one person to that belonging to another. The common law implicitly adopts the civil law doctrines …   Black's law dictionary

  • adjunction — The uniting of one article or material with another by which the lesser thing becomes a part of the greater, A synonym of accession. 1 Am J2d Access § 1 …   Ballentine's law dictionary