surjection

English

Wikipedia

A surjection.

Etymology

This term was introduced by Nicolas Bourbaki in his treatise Éléments de mathématique.

Pronunciation

• IPA: /sɜː(r).dʒɛk.ʃən/

Noun

surjection (plural surjections)

1. (mathematics) A function of "many-to-one" mapping relationship; more formally, f: X → Y is a surjection if and only if, for every y in the codomain Y, there is at least one x in the domain X with f(x) = y.

Related terms

• injection
• bijection

Translations

function of "many-to-one" mapping relationship

• Czech: surjekce (cs) f
• Estonian: sürjektsioon (et), surjection (et) f
• Finnish: surjektio (fi)
• French: surjection (fr) f
• German: Surjektion (de) f

• Ido: surjekto (io)
• Polish: suriekcja (pl) f
• Russian: сюръе́кция (ru) (sjur"jékcija) f
• Serbo-Croatian: surjekcija (sh) f
• Spanish: función sobreyectiva (es) f
• Swedish: surjektion (sv) c

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French

Etymology

sur- + jection

Noun

surjection f (plural surjections)

1. surjection