Standard Lemma guide

bijection

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • /baɪˈd͡ʒɛk.ʃən/
  • Southern-England: Recorded audio is listed in the source snapshot.

1

noun

Meaning 1

A one-to-one correspondence, a function which is both a surjection and an injection.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, set-theory

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

PIE word *dwóh1 From French bijection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.

Across languages

Translations

36 source translations are retained for this English entry.

  • Bulgarian: биекция (biekcija) — function that is both a surjection and an injection
  • Catalan: funció bijectiva — function that is both a surjection and an injection
  • Catalan: bijecció — function that is both a surjection and an injection
  • Chinese Mandarin: 一一映射 (yīyīyìngshè) — function that is both a surjection and an injection
  • Chinese Mandarin: 雙射 /双射 (shuāngshè) — function that is both a surjection and an injection
  • Czech: bijekce — function that is both a surjection and an injection
  • Dutch: bijectie — function that is both a surjection and an injection
  • Esperanto: dissurĵeto — function that is both a surjection and an injection
  • Esperanto: inversigebla funkcio — function that is both a surjection and an injection
  • Esperanto: bijekcio — function that is both a surjection and an injection
  • Estonian: bijektsioon — function that is both a surjection and an injection
  • Finnish: bijektio — function that is both a surjection and an injection
  • French: bijection — function that is both a surjection and an injection
  • German: Bijektion — function that is both a surjection and an injection
  • German: bijektive Funktion — function that is both a surjection and an injection
  • Greek: αμφιμονοσήμαντη αντιστοιχία (amfimonosímanti antistoichía) — function that is both a surjection and an injection
  • Hebrew: פונקציה חד־חד־ערכית ועל — function that is both a surjection and an injection
  • Hindi: एकैकी आच्छादन (ekaikī ācchādan) — function that is both a surjection and an injection
  • Hungarian: bijekció — function that is both a surjection and an injection
  • Hungarian: kölcsönösen egyértelmű leképezés — function that is both a surjection and an injection
  • Icelandic: gagntæk vörpun — function that is both a surjection and an injection
  • Ido: bijekto — function that is both a surjection and an injection
  • Japanese: 全単射 (zentansha) — function that is both a surjection and an injection
  • Japanese: 双射 (sōsha) — function that is both a surjection and an injection
  • Korean: 전단사 (jeondansa) — function that is both a surjection and an injection
  • Polish: bijekcja — function that is both a surjection and an injection
  • Polish: funkcja wzajemnie jednoznaczna — function that is both a surjection and an injection
  • Portuguese: bijeção — function that is both a surjection and an injection
  • Romanian: bijecție — function that is both a surjection and an injection
  • Romanian: funcție bijectivă — function that is both a surjection and an injection
  • Russian: бие́кция (bijékcija) — function that is both a surjection and an injection
  • Serbo-Croatian: bijekcija — function that is both a surjection and an injection
  • Serbo-Croatian: бијекција — function that is both a surjection and an injection
  • Spanish: biyección — function that is both a surjection and an injection
  • Swedish: bijektion — function that is both a surjection and an injection
  • Vietnamese: song ánh — function that is both a surjection and an injection