surjection

Meaning

Noun

• A function that is a many-to-one mapping; (formally) Any function $f:\; X\backslash rightarrow\; Y$ for which for every $y\; \backslash in\; Y$, there is at least one $x\; \backslash in\; X$ such that $f(x)\; =\; y$.

Related

Similar words

• surjective function

Origin

• From French surjection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.
• Ultimately borrowed from Latin superiaciō ("a throwing over or on; (fig.) an exaggeration, a hyperbole").