What does "bijection" mean?

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

How do you pronounce "bijection"?

Pronounced //baɪˈd͡ʒɛk.ʃən//.

Bijection

Q: What is a synonym for "bijection"?

Common synonyms include: bijective function, one to one correspondence, one-to-one correspondence.

//baɪˈd͡ʒɛk.ʃən// noun

noun ·Rare ·Advanced level

Definitions

Noun

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."

Synonyms

All synonyms

bijective function one to one correspondence one-to-one correspondence

Antonyms

All antonyms

anisomorphism

Example

More examples

"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."

Etymology

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

Related phrases

one to one

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.