bijection
/baɪˈd͡ʒɛk.ʃən/noun
bijection is a noun meaning “A one-to-one correspondence, a function which is both a surjection and an injection” (English Wiktionary, September 2026). It is spelled B-I-J-E-C-T-I-O-N, and it appears about once in every 18 million words in written English (wordfreq, 2021 data). The plural of bijection is bijections.
What does bijection mean?
noun
- 1
A one-to-one correspondence, a function which is both a surjection and an injection.
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).
How do you pronounce bijection?
- /baɪˈd͡ʒɛk.ʃən/
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Recordings: LL-Q1860_(eng)-Vealhurl-bijection.wav, Wikimedia Commons (author and licence on each file's page).
Forms of bijection
- bijections plural
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).
How common is bijection?
Bijection appears about once in every 18 million words in written English, the 127,184th most frequent word form in the list.
Source: written frequency: wordfreq 3.1 (a 2021 snapshot of Wikipedia, subtitles, news, books, web text and social media).
Bijection in Spanish, French, German and Portuguese
In the sense function that is both a surjection and an injection:
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Translations are Wiktionary's, by sense; a linked word has its own PlainSpell page.
Where does bijection come from?
From French bijection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).