Word.ws English Dictionary

bijection

/baɪˈd͡ʒɛk.ʃən/

bijection noun: a one-to-one correspondence, a function which is both a surjection and an injection.

bijection: a one-to-one correspondence, a function which is both a surjection and an injection
Image: Schapel, Public domain, via Wikimedia Commons

Noun

bijection (plural bijections)

  1. A one-to-one correspondence, a function which is both a surjection and an injection.
    • The present text has defined a set to be finite if and only if there exists a bijection onto a natural number, and infinite if and only if there does not exist any such bijection.2002, Yves Nievergelt, Foundations of Logic and Mathematics, page 214
    • Note in particular that a function is a bijection if and only if it's both an injection and a surjection.2007, C. J. Date, Logic and Databases: The Roots of Relational Theory, page 167
    Synonyms:
    bijective function, one-to-one correspondence

bijection meaning in Hindi, Tamil and Vietnamese

bijection in Hindi

function that is both a surjection and an injection
एकैकी आच्छादन ekaikī ācchādan

bijection in Tamil

இருவழிக் கோப்பு

bijection in Vietnamese

function that is both a surjection and an injection
song ánh

Synonyms of bijection

  • bijective function
  • one-to-one correspondence

Forms of bijection

pluralbijections

Origin of bijection

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

Questions about bijection

What does bijection mean?
Bijection means a one-to-one correspondence, a function which is both a surjection and an injection.
What is bijection in Hindi?
Bijection in Hindi is एकैकी आच्छादन (ekaikī ācchādan). See Bijection meaning in Hindi.
What part of speech is bijection?
Bijection is a noun.
How do you pronounce bijection?
Bijection is pronounced /baɪˈd͡ʒɛk.ʃən/.
What is the plural of bijection?
The plural of bijection is bijections.

Words near bijection in the dictionary

  1. bijao
  2. bijaos
  3. Bijapur
  4. bijasal
  5. bijasals
  6. bijection
  7. bijections
  8. bijective
  9. bijective numeration
  10. bijective numerations
  11. bijectively

Source and license

Adapted from Wiktionary: bijection (page history and authors); bijection (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Vealhurl-bijection.wav.

Cite this entry: “bijection.” Word.ws, https://word.ws/bijection. Based on Wiktionary, CC BY-SA 4.0.