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.

Игры ⚽ Поможем написать реферат

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 space — In mathematics, an adjunction space is a common construction in topology where one topological space is attached or glued onto another. Specifically, let X and Y be a topological spaces with A a subspace of Y . Let f : A → X be a continuous map… …   Wikipedia

  • Adjunction (field theory) — In abstract algebra, adjunction is a construction in field theory, where for a given field extension E / F , subextensions between E and F are constructed. Definition Let E be a field extension of a field F . Given a set of elements A in the… …   Wikipedia

  • Adjunction formula (algebraic geometry) — In mathematics, the adjunction formula of algebraic geometry and complex manifold theory relates, for a hypersurface, its normal bundle, its canonical bundle, and the canonical bundle of the ambient variety or manifold.Let H be a hypersurface in… …   Wikipedia

  • 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

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”