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bijection

noun
/baɪˈd͡ʒɛk.ʃən/

Etymology

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

  1. borrowed from bijection

Definitions

  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.
    • Note in particular that a function is a bijection if and only if it's both an injection and a surjection.

The neighborhood

Vish — recursive loop

A definitional loop anchored at bijection. Each word in the ring is defined by the next; follow the chain far enough and it folds back on itself. Scroll to it and watch.

01bijection02correspondence03communication04fact05opposed06opponent07works08countable

A definitional loop anchored at bijection. Each word in the ring appears in the definition of the next; follow the chain far enough and it folds back on itself.

8 hops · closes at bijection

curated · pre-corpus. live cycle detection across the full graph is the next major milestone.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA