bijection

English

Wikipedia

A bijection.

Etymology

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

Pronunciation

• IPA: /baɪ.dʒɛk.ʃən/

Noun

bijection (plural bijections)

1. (set theory) A function which is both a surjection and an injection.

Synonyms

• one-to-one correspondence

Translations

a function which is both a surjection and an injection

• Czech: bijekce (cs) f
• Dutch: bijectie (nl) f
• Estonian: bijektsioon (et)
• Finnish: bijektio (fi)
• French: bijection (fr) f
• German: Bijektion (de) f
• Greek: αμφιμονοσήμαντη αντιστοιχία (el) (amfimonosímanti antistoichía) f

• Hebrew: פונקציה חד-חד-ערכית ועל (he) f
• Icelandic: gagntæk vörpun (is) f
• Ido: bijekto (io)
• Polish: bijekcja (pl) f
• Serbo-Croatian: bijekcija (sh) f
• Spanish: biyección (es) f
• Swedish: bijektion (sv) c

---

French

Pronunciation

• Audio (Paris)

  (file)

Noun

bijection f (plural bijections)

1. bijection

   Je voudrais démontrer que cette fonction est une bijection réciproque.