Bijection
/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."
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.